Vorticity
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nan 8 10 10 11 12 11 9 6 6 7 6 4 1 2 6 7 6 7 7 6 5 7 9 11 12 11 12 14 9 6 4 6 5 7 6 3 10 18 16 12 9 16 4 -7 -2 2 -1 5 9 10 12 18 19 10 4 5 8 8 6 9 10 5 -1 0 5 10 16 12 3 2 8 7 1 -4 -2 5 12 16 16 13 7 0 0 8 16 18 16 15 14 13 14 14 12 7 6 5 4 3 5 7 8 6 5 8 14 14 12 11 10 8 9 10 10 8 9 13 15 13 11 7 3 2 2 4 6 11 15 12 5 10 10 9 6 7 12 5 -2 -4 -12 -9 -2 -0 -2 -1 -0 2 6 8 9 9 9 9 11 15 18 16 9 5 6 8 10 11 11 9 11 14 15 nan
nan 14 9 8 9 11 12 11 8 7 6 6 8 7 6 5 6 6 7 8 9 9 11 10 5 2 5 10 13 8 4 4 5 6 9 9 5 7 10 12 11 16 26 7 -12 -2 4 7 13 9 7 12 24 24 14 8 11 13 12 9 7 4 -1 -4 -1 7 16 20 14 4 6 12 8 -3 -7 -0 10 15 15 13 8 -0 -9 -6 3 12 20 24 20 16 15 16 16 13 11 9 10 7 6 6 9 10 11 11 14 19 20 14 9 8 9 8 5 4 3 7 12 13 11 9 6 4 2 1 1 3 4 9 11 10 8 6 -0 -3 -3 -0 0 -3 -5 -19 -21 -14 -6 -1 3 5 9 11 10 9 8 7 10 12 14 15 14 11 9 8 9 10 11 12 12 13 16 16 nan
nan 14 8 5 8 10 11 10 9 9 8 9 14 18 15 10 8 8 9 10 10 12 15 13 4 -0 6 12 11 9 6 6 4 7 11 11 6 8 13 15 12 16 19 10 4 9 14 20 21 9 3 8 19 19 16 10 9 9 10 11 12 8 2 -1 0 5 11 11 7 8 12 14 6 -4 -6 5 17 18 12 8 1 -7 -10 0 12 15 19 23 21 15 13 13 13 13 13 13 14 12 10 10 11 12 13 12 10 9 10 12 11 10 8 7 1 1 5 7 10 9 8 8 6 6 6 9 12 10 6 5 4 8 11 9 2 0 1 -2 -2 -0 -2 -15 -23 -14 -2 5 8 11 13 14 13 9 6 6 9 11 9 9 9 10 11 10 10 9 10 11 13 15 17 17 nan
nan 11 4 -0 10 12 10 6 9 11 9 9 17 23 22 17 16 18 14 10 7 11 11 6 2 5 12 12 8 7 8 7 3 1 9 14 9 7 11 18 20 15 11 12 17 14 18 30 26 9 -0 5 14 16 15 10 5 2 3 10 16 14 7 0 1 1 1 -1 1 8 11 9 4 1 4 10 15 13 10 3 -6 -10 -5 6 20 29 30 25 16 9 6 8 8 8 9 10 12 11 8 6 4 5 6 3 1 1 4 10 9 6 3 0 1 5 7 7 9 10 9 7 6 5 5 12 15 12 9 7 7 11 16 13 7 6 14 8 2 5 5 -2 -8 0 8 11 12 14 15 15 12 8 6 6 8 9 8 9 11 11 10 9 8 8 8 8 10 12 15 17 nan
nan 4 0 5 11 10 8 7 10 12 9 6 9 13 17 19 23 21 12 5 7 14 12 -0 3 9 13 9 6 5 10 12 1 -4 5 14 8 -4 1 11 18 14 9 10 11 8 7 18 21 11 5 7 11 11 12 13 10 4 1 6 11 15 15 11 7 3 0 -2 2 7 8 4 3 8 16 16 11 8 6 -1 -11 -8 2 11 18 34 40 27 12 4 1 3 4 4 6 9 12 12 8 3 -0 -1 1 -1 -3 -1 4 11 12 8 6 3 6 6 4 4 9 11 12 12 12 7 5 8 9 6 9 14 16 16 15 10 6 9 16 18 13 12 11 8 6 9 12 10 11 14 16 13 8 5 5 6 8 8 8 9 11 12 11 11 10 11 13 14 14 11 10 10 nan
nan -1 3 13 6 2 7 10 10 12 15 16 13 9 7 13 19 17 8 1 9 16 15 1 6 13 11 6 6 9 17 28 19 -3 5 15 11 -2 -11 -4 7 16 16 6 1 1 -0 2 10 6 6 6 6 10 14 14 11 7 5 5 7 13 18 18 11 7 6 5 4 6 7 4 4 11 24 25 15 6 -0 -6 -9 -0 12 14 10 25 38 28 16 9 6 6 3 5 7 9 11 11 8 6 4 4 5 4 3 5 11 19 22 17 14 10 9 5 2 3 6 8 11 15 16 13 10 8 6 2 8 18 20 13 5 3 5 11 16 21 19 16 13 10 10 9 9 6 7 12 15 11 6 2 3 4 5 6 7 8 9 11 14 16 17 17 18 19 18 13 7 5 nan
nan -3 6 19 6 2 11 17 6 3 9 14 14 8 6 9 13 13 9 9 19 21 16 5 9 13 6 7 10 14 20 31 20 7 14 13 11 2 -4 1 6 21 25 12 -1 -4 1 2 5 4 6 8 6 10 19 16 3 0 6 10 12 14 16 12 7 7 11 12 9 6 5 5 7 13 21 24 18 9 -0 -5 -3 9 19 14 5 12 27 27 21 17 14 9 7 8 10 9 9 9 9 8 7 8 9 8 8 11 16 20 19 15 12 9 8 7 6 5 5 5 7 10 12 16 16 15 10 7 11 16 14 7 2 1 5 13 18 19 16 13 10 10 11 11 9 8 11 16 17 11 5 3 3 4 4 5 7 8 10 13 16 18 17 15 14 15 14 11 8 7 nan
nan 2 11 19 8 12 24 22 7 2 6 8 5 -1 -1 4 10 13 14 15 19 17 9 7 11 15 8 10 11 13 14 14 10 14 15 9 10 10 18 15 10 16 20 18 7 1 1 3 6 9 9 9 8 12 24 17 -3 -1 6 14 24 26 15 1 -1 5 9 10 9 5 6 8 11 10 11 13 17 18 11 3 1 13 20 10 1 2 13 18 18 20 18 11 11 12 12 8 8 11 11 9 7 7 7 7 9 12 13 13 11 11 11 8 7 7 7 6 5 6 5 5 9 15 18 16 12 10 11 11 8 4 4 4 7 15 19 17 11 6 4 7 12 15 14 15 18 21 19 12 6 4 5 5 6 6 6 7 9 12 14 13 10 10 10 12 13 13 12 12 nan
nan 4 9 9 7 16 23 15 9 7 12 9 2 -2 -2 5 11 15 14 13 12 12 7 8 9 13 9 10 9 9 8 5 6 10 8 3 8 17 26 13 5 7 15 15 13 4 -2 2 9 12 11 12 11 12 16 13 5 5 7 9 18 22 13 1 -1 3 4 6 7 8 7 9 8 6 6 10 18 27 23 11 5 13 18 8 1 0 4 7 12 20 19 14 11 14 14 10 9 13 13 11 8 6 4 5 7 8 8 7 6 9 12 11 9 7 6 6 6 7 7 8 11 14 16 15 12 9 8 7 5 4 5 7 9 15 18 16 10 5 2 5 11 15 16 18 22 22 19 14 8 6 7 8 8 7 4 4 6 6 6 8 11 12 12 14 15 15 13 12 nan
nan 15 14 4 8 21 28 12 2 4 8 6 3 6 10 10 12 13 11 11 14 20 19 14 8 5 5 6 7 7 6 4 5 7 8 5 4 14 16 5 -0 5 12 11 9 1 -4 0 9 13 14 13 12 10 8 8 9 8 9 4 -1 -2 0 3 4 4 4 5 8 12 10 6 3 6 11 13 16 23 21 11 5 7 13 12 8 5 4 6 11 16 13 13 9 9 12 14 11 13 12 12 11 7 4 4 6 7 6 4 5 10 15 17 14 11 10 9 8 8 9 11 14 16 18 18 17 14 11 9 10 10 10 10 13 17 19 18 13 7 2 4 8 8 8 15 19 19 21 21 16 11 11 12 11 9 5 4 4 3 3 6 12 16 16 15 15 15 14 12 nan
nan 18 14 0 5 17 24 15 6 7 7 7 6 8 13 14 12 11 7 5 8 15 21 16 8 1 3 4 6 6 6 5 6 9 11 11 9 12 8 6 -3 2 9 11 6 0 -4 1 9 11 12 12 12 10 7 4 5 10 12 5 -3 -6 -3 -1 3 7 8 6 7 11 16 12 3 7 15 11 5 6 9 6 3 2 8 14 13 11 10 12 13 5 -1 6 5 5 11 16 15 14 13 12 12 9 6 5 6 7 6 5 7 11 15 18 20 19 16 15 12 11 13 15 17 19 21 23 24 23 22 22 22 20 16 13 12 18 24 24 18 9 -0 -5 -4 -3 2 10 12 13 21 26 24 16 14 16 14 10 6 5 5 5 5 6 10 15 16 15 15 15 15 13 nan
nan 7 -1 -5 -1 6 12 13 7 5 7 10 11 13 16 19 15 11 6 3 1 2 10 11 7 6 10 9 7 7 6 7 8 12 13 11 11 7 7 9 2 5 8 9 3 -1 -2 4 8 9 9 10 11 12 8 4 5 11 12 9 4 4 5 3 1 3 5 4 1 4 13 19 12 10 13 13 3 1 1 2 1 2 7 12 15 16 17 18 12 -4 -4 7 9 5 7 13 16 14 14 13 14 12 9 8 8 9 8 6 6 8 11 16 20 22 21 18 15 14 15 18 19 20 22 24 25 27 31 32 30 24 17 12 11 15 22 24 19 10 -1 -17 -19 -10 2 12 12 10 16 23 25 19 17 18 15 12 8 6 7 8 9 9 11 13 15 15 15 15 16 14 nan
nan 7 3 3 3 6 6 6 5 5 10 13 17 19 19 16 13 8 6 5 6 8 9 10 8 11 15 16 12 8 5 6 9 15 13 9 7 3 5 8 9 9 8 4 1 1 3 7 10 11 9 8 9 11 10 6 5 8 11 10 7 7 7 5 2 0 2 2 -1 1 9 14 11 4 8 9 10 8 5 -1 -2 6 10 11 15 19 21 20 10 -2 3 13 14 7 6 9 11 9 11 14 18 17 15 13 12 11 8 5 4 7 10 14 16 17 16 14 13 15 16 17 16 17 18 20 19 21 26 29 29 22 14 10 10 11 14 15 13 8 -1 -20 -23 -6 8 16 17 11 9 13 16 15 15 16 16 14 12 10 10 12 13 14 14 14 14 14 15 16 16 15 nan
nan 11 6 11 14 10 4 1 3 9 15 12 11 15 15 9 7 5 4 6 8 11 12 8 7 8 12 11 10 8 5 5 10 16 15 9 5 1 1 7 12 11 9 3 4 8 9 11 13 13 11 9 8 8 7 3 1 4 7 6 5 5 6 7 8 9 9 7 5 5 6 4 2 -3 -2 3 4 4 4 2 8 14 12 12 13 16 20 20 10 4 7 12 15 11 10 9 5 4 6 11 16 20 20 17 14 10 7 3 2 6 11 14 11 8 7 7 10 14 17 17 14 11 12 12 11 12 17 21 22 19 15 15 14 14 11 7 6 1 -7 -14 -10 3 10 16 18 12 6 4 6 8 10 13 15 16 15 13 14 16 18 17 14 11 10 13 15 17 16 14 nan
nan 17 19 17 14 5 12 2 -4 6 18 10 6 9 10 10 11 10 5 3 4 8 11 8 7 8 8 5 4 6 4 6 12 18 18 14 6 -1 1 6 9 10 11 7 9 12 13 13 13 14 12 9 7 6 4 1 -1 1 4 4 3 4 5 8 12 15 15 12 10 8 6 4 1 -0 -2 -0 -4 -3 0 6 14 12 10 10 9 12 18 19 12 9 11 11 9 10 11 11 6 4 6 10 10 10 11 10 9 7 4 0 0 6 13 14 8 3 3 5 9 15 20 21 16 11 7 7 7 6 10 14 15 18 25 25 21 18 13 7 2 -2 -6 -5 2 7 9 12 14 11 5 2 3 6 10 12 13 13 12 10 12 17 19 17 15 9 6 6 11 14 16 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
132 121 101 95 101 111 121 125 128 130 130 124 114 103 98 102 113 127 135 137 139 148 153 139 113 93 88 91 89 77 63 64 70 80 89 97 100 94 84 78 75 74 74 73 73 74 77 78 78 76 72 69 68 67 64 61 61 65 64 54 39 28 16 11 9 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
126 133 122 106 102 106 116 126 128 125 125 124 117 108 105 108 117 130 141 145 146 149 153 147 131 112 102 100 98 90 82 85 98 110 116 117 116 105 93 88 88 90 91 91 90 91 91 90 88 86 82 77 74 72 67 67 70 71 61 42 27 20 11 10 7 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
100 117 126 123 114 111 116 122 118 113 112 115 113 111 114 118 121 130 142 148 147 144 144 143 137 125 115 115 123 130 135 134 134 135 130 123 118 110 101 97 99 101 102 100 98 98 98 98 96 92 87 84 84 78 68 67 71 67 49 28 17 13 8 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
68 88 113 128 130 124 121 120 115 109 107 108 109 113 120 125 124 127 139 146 143 136 132 131 132 128 119 121 136 154 164 161 154 146 136 126 118 113 109 105 104 104 103 100 99 100 102 102 100 95 91 93 92 81 67 66 77 69 38 18 9 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
45 60 92 121 136 136 128 120 113 111 107 109 110 114 121 126 124 122 131 139 135 128 123 124 127 127 121 119 130 147 158 156 151 145 135 124 118 117 113 108 103 101 96 94 96 99 102 105 104 98 98 101 92 77 69 77 83 63 27 10 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
37 41 67 101 130 142 136 122 112 111 109 115 116 117 121 124 122 120 122 128 128 121 117 120 125 126 122 119 127 138 145 142 138 132 125 120 117 116 112 104 96 94 91 90 92 96 100 104 107 105 103 101 86 74 78 86 73 40 16 8 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
36 36 46 71 110 139 143 128 115 113 117 124 126 123 121 120 118 116 115 120 124 121 115 117 118 119 118 119 123 126 127 124 120 116 114 113 115 113 107 97 87 85 84 85 88 92 95 99 104 108 108 99 83 81 86 80 53 23 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
36 34 38 50 82 125 146 137 123 119 123 130 132 126 118 114 111 109 112 119 123 121 114 108 112 113 113 114 116 116 116 114 111 109 112 114 113 108 100 90 80 76 75 77 81 84 88 94 103 112 112 102 92 95 88 66 33 10 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
36 33 34 41 62 99 133 143 136 130 129 131 130 121 110 104 102 105 113 122 124 118 109 103 106 115 117 112 108 112 116 115 112 112 115 116 112 104 94 82 73 67 63 62 66 72 78 85 96 108 114 113 109 102 80 54 19 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
40 31 31 36 49 71 100 129 140 137 135 133 124 109 98 93 95 100 110 120 121 110 100 99 106 114 117 108 103 111 117 115 114 115 116 113 108 98 85 69 57 49 44 43 48 57 67 74 85 102 117 122 111 85 54 31 8 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
48 32 27 31 39 52 72 101 124 129 131 126 110 97 89 87 89 94 102 113 115 100 90 93 103 111 114 110 110 118 121 116 113 111 108 101 91 79 63 47 37 31 28 28 33 43 56 64 70 87 111 108 83 48 20 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
54 40 30 28 32 40 53 79 105 119 121 111 93 91 88 86 86 90 99 109 112 99 86 86 96 104 107 112 119 124 123 115 107 98 89 76 61 47 37 28 24 24 23 23 27 38 51 58 61 74 90 80 47 19 9 12 12 4 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
64 59 42 31 31 34 42 62 90 111 116 107 98 97 91 85 85 92 102 111 112 103 90 84 88 93 96 105 113 112 106 97 85 73 59 44 32 26 23 23 23 23 21 21 30 43 54 58 61 72 81 62 23 6 8 18 19 6 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
68 77 62 42 32 30 36 50 75 99 108 108 108 103 91 80 78 90 102 106 104 97 91 88 87 86 89 101 107 101 86 72 59 48 36 26 21 21 24 26 26 22 19 20 35 54 63 66 73 82 78 48 15 6 5 8 8 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
56 73 68 51 36 28 31 44 62 82 93 100 106 102 87 72 70 86 102 100 88 82 79 78 79 81 86 100 103 88 66 50 41 36 31 25 22 25 30 32 27 20 17 23 43 66 76 81 92 99 87 57 26 12 2 2 4 5 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
43 53 64 58 43 32 31 40 52 66 79 89 99 99 85 68 65 80 101 101 78 68 65 65 65 68 75 83 80 61 43 35 33 33 31 28 28 34 37 34 25 15 15 29 53 77 91 98 110 110 93 64 32 11 2 3 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
48 50 62 64 55 44 40 43 49 57 67 78 87 95 89 75 67 77 97 100 80 62 52 49 50 53 56 56 49 38 32 31 33 34 32 31 33 37 38 32 18 10 16 43 74 94 101 109 116 108 90 62 31 10 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
57 57 66 72 68 62 58 55 51 51 55 64 75 86 93 87 78 81 89 93 84 64 46 38 39 43 44 41 36 33 31 32 35 35 33 33 35 36 34 25 13 8 25 63 93 104 105 108 107 101 74 48 24 12 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 0 0 0 0 0 0 0
65 65 73 79 80 78 77 71 62 51 46 54 67 78 88 93 88 83 84 90 86 69 49 37 36 42 45 41 35 32 32 34 35 34 32 32 33 33 29 21 11 12 39 79 100 105 102 94 83 73 46 22 10 6 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
73 72 78 84 85 85 86 78 65 51 45 54 68 80 90 95 94 89 88 88 83 72 58 49 48 55 58 51 42 36 35 34 34 33 32 33 32 30 26 19 13 20 48 82 92 94 87 72 58 42 21 7 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
74 76 76 78 77 72 65 55 47 44 46 59 77 88 98 102 96 89 85 83 79 71 66 66 72 79 79 66 51 42 38 36 35 34 35 35 34 30 25 20 17 25 49 76 84 79 69 55 40 23 10 3 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
67 67 63 60 56 47 36 30 31 39 54 72 89 84 94 98 90 79 76 77 77 72 70 79 92 99 95 79 61 49 41 39 39 39 38 38 37 34 28 23 22 29 51 76 84 79 68 54 38 24 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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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