Vorticity
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nan 14 18 22 22 18 12 7 5 3 1 -1 -2 -1 1 3 3 2 4 6 6 8 8 10 13 12 9 10 12 11 10 11 12 14 15 13 10 8 6 6 7 5 6 4 3 3 4 5 8 8 8 8 10 11 10 9 9 10 9 9 10 12 15 16 14 12 10 10 12 10 4 -3 -6 -6 -6 -5 -2 2 6 7 7 9 12 13 10 7 8 13 17 19 19 18 16 12 7 4 1 -0 1 1 -1 -1 1 1 2 2 2 4 9 11 9 4 5 6 8 10 12 13 13 12 11 9 6 4 4 6 8 8 6 8 11 11 10 6 -1 -6 -6 -2 2 5 5 6 5 5 4 4 3 4 7 10 12 13 14 14 12 9 8 8 9 9 9 10 11 10 9 7 6 6 nan
nan 9 12 16 19 19 13 8 5 3 2 3 5 7 9 9 8 8 10 10 8 9 10 13 13 8 5 6 9 8 8 10 9 9 12 15 14 12 10 9 10 10 10 7 6 7 6 6 8 9 8 8 11 12 10 8 8 9 9 9 9 9 9 14 19 19 14 10 10 10 9 7 6 6 4 1 2 5 6 6 10 14 13 7 -1 -6 -3 5 13 15 15 18 20 19 16 13 6 -3 -6 -7 -7 -6 -3 -0 3 4 4 3 6 8 7 5 3 3 5 8 9 10 11 13 13 12 9 5 2 8 10 7 -2 -1 6 7 7 6 6 3 -1 0 4 6 7 6 6 6 6 6 6 8 11 13 13 12 11 8 6 5 5 6 7 7 8 10 12 13 11 9 7 8 nan
nan 12 10 12 16 17 15 12 11 9 7 8 10 12 12 11 11 13 13 8 5 6 10 12 8 3 2 4 6 5 7 9 7 6 9 13 15 14 15 18 20 19 15 12 10 8 4 6 8 7 5 7 11 15 12 11 10 9 8 8 7 7 6 10 17 20 17 14 12 12 12 14 16 15 12 9 9 11 10 8 11 14 11 2 -7 -10 -4 4 7 7 8 11 13 15 17 17 14 7 1 -2 -3 -4 -2 0 3 5 6 5 4 6 7 7 5 5 5 6 5 4 5 8 11 12 11 9 2 0 4 3 -3 -3 5 9 9 9 11 10 5 5 7 8 7 7 7 6 6 7 9 12 14 12 10 8 6 6 6 6 7 9 10 9 10 11 12 14 14 12 9 9 nan
nan 14 7 9 15 15 15 17 16 14 13 13 13 12 10 9 11 12 8 2 2 7 10 9 4 2 5 5 6 6 8 10 8 7 7 11 12 10 11 17 22 22 18 14 11 7 5 7 7 4 2 4 9 10 8 11 11 10 9 9 9 9 10 10 12 13 13 14 16 17 16 17 18 16 14 13 12 11 8 4 4 7 4 -2 -5 -5 -1 6 9 11 13 13 11 9 11 14 16 14 9 5 3 2 1 2 3 4 6 6 6 8 11 11 8 7 8 8 5 2 0 1 3 7 11 12 6 -1 0 5 8 6 9 13 11 9 8 8 7 6 8 8 9 9 7 7 7 8 11 12 10 7 6 4 4 6 8 10 12 12 12 12 11 10 10 11 12 12 10 9 nan
nan 6 2 10 13 8 11 15 13 12 12 11 11 11 9 7 8 6 3 3 5 10 12 9 6 8 8 7 7 8 9 8 7 7 9 11 10 5 1 7 15 16 16 13 10 9 10 10 8 5 5 6 6 3 5 11 14 15 14 13 12 12 12 12 10 9 10 12 13 15 19 21 21 18 15 14 11 4 -2 -5 -5 -3 -1 1 4 4 3 6 7 6 6 7 8 8 7 8 11 13 12 10 7 5 4 4 5 5 5 7 9 10 10 10 10 9 10 10 9 7 5 2 2 4 10 14 12 5 3 9 16 16 13 10 8 8 8 8 6 6 7 9 10 9 8 8 9 10 12 10 7 5 4 4 5 8 11 13 14 13 11 9 9 8 9 9 9 10 10 9 nan
nan 2 3 9 7 2 10 18 14 9 7 7 7 5 4 6 8 7 7 8 11 16 17 11 9 12 11 10 10 9 8 7 8 9 11 10 5 3 3 8 12 10 11 13 11 11 11 11 11 12 14 13 11 10 14 20 19 17 18 19 18 16 13 10 9 11 12 11 8 8 12 18 21 20 20 19 13 4 -3 -6 -6 -2 2 7 11 12 8 5 4 2 3 4 8 9 7 6 7 8 10 11 10 8 7 6 7 6 5 5 8 8 6 8 10 11 11 11 12 12 12 11 9 9 14 15 12 7 4 7 11 13 9 3 4 9 12 11 8 6 7 8 10 10 10 10 11 11 10 8 7 6 6 7 9 13 16 15 13 9 6 6 7 8 8 9 10 10 10 10 nan
nan 7 8 7 1 3 16 24 14 4 5 5 3 1 3 7 9 10 11 13 17 20 19 13 10 12 11 11 11 9 9 9 11 10 10 7 5 7 9 12 9 6 9 12 11 10 8 8 10 14 17 17 17 17 20 17 12 14 19 22 22 19 13 10 10 12 13 12 9 6 5 8 13 18 23 27 26 18 9 5 3 5 9 12 15 15 12 7 4 6 13 15 16 13 7 6 5 6 8 11 11 11 10 10 9 8 6 5 5 6 7 9 10 10 11 11 12 13 13 13 12 13 16 16 13 10 7 5 4 2 -1 -0 6 14 16 14 10 6 5 7 9 10 11 11 11 9 7 6 6 7 8 9 13 17 18 13 7 5 5 6 7 8 9 10 11 11 11 12 nan
nan 10 9 7 1 5 16 18 9 5 7 7 6 7 9 12 12 13 15 16 18 18 16 12 10 10 10 10 10 10 10 10 10 9 9 7 8 12 12 9 7 5 8 11 10 8 6 5 7 9 11 12 14 15 16 13 14 15 14 16 15 11 10 13 15 15 15 17 18 15 13 12 14 15 18 24 30 28 18 10 7 8 13 16 18 16 13 8 4 4 12 17 21 19 11 7 6 8 9 10 10 11 11 11 11 10 9 8 7 8 9 9 9 8 8 8 10 10 9 8 7 9 12 13 14 13 11 8 4 0 -2 -1 6 15 19 18 14 9 6 6 8 10 11 12 10 7 7 8 10 11 11 13 16 16 13 7 5 5 6 8 8 8 9 9 10 11 12 13 nan
nan 9 11 7 2 6 13 13 10 11 11 10 12 12 13 13 13 15 17 17 13 11 12 11 9 8 10 10 10 10 11 11 12 13 12 10 9 12 10 8 8 7 7 10 8 6 5 4 5 6 7 7 9 12 13 14 14 9 6 8 7 6 13 22 23 19 17 18 22 23 23 23 21 16 13 17 23 24 17 9 3 5 12 19 20 17 14 11 6 2 4 14 20 20 14 12 12 14 14 10 6 7 8 10 10 10 10 10 10 10 11 10 9 7 5 6 6 5 4 4 4 6 8 9 11 14 16 15 11 8 6 5 6 11 16 18 17 14 10 8 7 8 10 10 9 8 11 16 18 17 14 14 13 10 6 4 5 7 9 9 9 8 8 8 9 10 11 12 nan
nan 4 6 5 3 6 11 14 14 12 10 10 12 13 13 12 13 16 17 14 9 8 11 11 9 9 11 10 9 10 11 13 14 14 13 10 7 9 9 9 9 7 7 9 6 5 5 6 7 7 8 7 8 10 10 9 6 4 5 9 12 12 15 19 17 12 10 12 15 18 20 20 17 15 15 16 17 18 18 14 7 4 7 14 18 22 19 15 10 2 -1 11 16 16 14 18 22 18 17 13 9 5 5 6 7 8 8 9 9 10 10 10 10 9 7 6 5 4 3 3 6 9 11 11 11 14 18 20 17 14 12 9 6 7 10 12 15 16 15 11 8 7 8 9 10 14 18 22 23 18 12 8 5 3 2 3 5 7 8 8 9 9 8 8 9 10 10 12 nan
nan 4 3 3 5 9 11 12 12 9 9 10 10 12 13 12 12 14 15 12 9 10 13 11 9 10 10 8 8 11 12 11 11 12 12 9 6 7 8 8 9 6 7 7 4 5 7 9 11 12 11 9 8 8 8 7 8 8 9 11 12 11 10 8 6 4 3 6 8 12 12 7 6 8 13 12 8 10 16 20 19 13 9 10 16 22 22 19 16 10 5 10 16 21 23 26 25 14 12 15 15 9 6 5 6 6 6 7 8 9 10 11 12 12 12 10 7 5 4 6 9 11 12 13 14 15 15 16 15 12 10 8 5 6 8 11 12 12 13 13 10 8 8 9 10 14 18 19 16 10 5 3 1 2 3 5 5 6 7 8 9 10 10 10 10 10 10 11 nan
nan 7 5 7 10 12 11 11 8 5 8 10 10 10 12 12 11 14 16 14 11 10 10 8 5 7 8 8 9 11 10 8 9 12 13 10 8 7 7 8 9 7 7 7 7 8 10 11 14 14 11 9 9 9 9 9 10 11 10 9 9 7 6 5 4 4 5 6 7 9 7 1 1 4 7 2 -2 0 8 15 19 20 17 14 13 10 12 18 19 15 10 8 17 25 28 25 17 7 8 15 19 16 10 7 7 7 7 7 9 11 13 14 14 14 14 13 12 10 8 9 11 11 10 9 8 6 6 8 12 12 9 7 5 5 10 17 16 11 6 8 9 9 8 6 5 8 11 9 6 3 2 2 4 4 6 6 7 8 9 9 11 12 13 13 12 11 11 12 nan
nan 9 11 15 18 15 11 9 7 7 9 10 8 9 10 11 12 15 17 14 9 5 3 2 3 6 9 8 7 8 7 6 10 13 14 11 10 9 8 9 9 9 9 9 9 10 12 12 14 13 10 9 9 9 11 11 12 12 10 8 7 6 6 6 5 5 6 7 8 7 5 3 3 5 4 -1 -4 -1 5 9 11 14 16 12 8 2 8 16 15 10 7 5 12 18 20 17 10 5 7 14 18 17 11 9 8 8 8 9 11 17 22 24 22 18 16 15 15 14 13 12 11 9 7 3 0 -1 1 4 8 11 11 12 10 8 10 15 18 16 11 10 12 11 7 3 2 4 5 3 2 2 3 5 6 8 9 9 10 10 11 12 13 13 14 14 14 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
108 109 107 106 109 118 126 124 114 108 114 116 99 74 47 22 6 0 0 0 0 0 2 13 34 61 84 96 98 97 96 98 88 73 63 56 49 41 34 30 27 26 27 30 36 44 52 55 52 40 26 13 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
78 82 85 90 94 101 111 120 119 115 112 108 91 65 40 16 3 0 0 0 0 1 5 17 37 61 82 94 97 97 99 101 94 82 73 67 59 48 38 33 28 23 19 20 31 46 57 62 60 50 32 14 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 0 0 0
45 43 50 61 70 78 89 103 114 118 118 110 90 65 41 18 3 0 0 0 2 6 14 26 43 64 85 97 101 102 103 104 101 92 83 76 66 55 45 36 27 18 11 11 22 40 55 64 62 50 31 13 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
32 31 36 46 56 64 71 83 99 112 120 117 99 74 50 28 8 1 0 2 8 17 25 32 43 61 83 98 104 108 111 112 109 103 95 87 77 66 55 44 32 21 13 13 23 39 56 65 62 47 28 11 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
22 22 29 43 56 62 60 64 75 95 114 118 108 88 66 44 23 9 5 10 21 31 34 33 37 51 70 87 98 106 115 118 119 117 111 103 95 85 74 62 53 46 40 40 46 55 64 69 61 42 23 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
6 7 17 38 61 68 58 48 52 72 98 110 109 99 84 65 45 31 26 31 42 48 43 34 30 37 51 67 82 98 114 125 129 128 125 120 114 105 96 87 83 87 93 93 86 80 79 77 64 41 18 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 0 0 0 0
1 1 9 31 62 75 60 39 35 53 79 94 96 99 99 87 71 59 57 60 63 62 52 39 29 29 36 48 64 85 108 127 134 132 131 129 125 118 110 101 98 102 108 105 96 89 85 78 63 41 18 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 0 0 0 0
0 0 10 36 66 79 58 31 24 40 63 75 77 88 104 108 98 88 84 80 74 64 51 39 29 26 29 36 51 73 100 124 136 134 134 132 127 120 107 93 85 83 82 78 72 68 68 66 56 35 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 0 0 0 0 0 0 0 0
0 0 18 52 77 75 50 24 19 34 53 62 67 80 102 119 116 103 92 81 69 55 41 29 23 25 27 32 46 70 99 125 138 139 134 127 116 101 82 67 57 52 48 44 38 35 35 35 29 19 8 2 0 0 0 0 0 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 13 50 77 70 44 27 24 36 52 61 67 79 98 113 110 93 77 67 57 43 29 18 16 22 29 35 49 74 106 131 142 140 130 115 96 74 56 42 36 32 27 22 16 12 12 11 11 9 5 1 0 0 0 0 0 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 4 29 57 57 43 36 37 44 59 68 71 78 89 95 88 73 62 55 46 34 21 15 17 26 36 45 60 88 122 144 147 138 122 100 75 54 39 30 26 25 21 14 8 4 3 4 4 4 2 0 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 0 0
0 0 2 12 34 48 51 51 52 58 67 72 70 69 72 73 69 64 58 50 40 28 22 23 34 46 54 63 80 110 142 152 145 130 110 85 61 44 32 25 23 21 17 11 5 2 1 2 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 0 0 0 0 0 0 0 0 0 0
0 0 2 8 23 46 65 69 69 69 70 69 65 64 64 66 67 67 61 49 37 29 31 43 66 78 84 90 105 127 145 148 138 119 95 70 51 37 28 23 21 18 12 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 0 0 0 0 0 0 0 0
0 0 1 9 26 49 73 84 80 72 66 63 65 70 74 75 77 75 64 49 36 32 39 58 84 96 100 108 124 138 142 136 123 103 79 56 40 30 24 21 18 14 8 1 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 1 10 31 57 78 87 82 71 64 64 73 86 93 92 88 81 69 52 39 34 38 50 67 80 88 99 121 138 137 123 102 79 57 40 29 23 20 18 14 10 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
0 0 1 11 40 69 87 90 81 71 66 70 83 100 111 110 102 93 82 66 48 36 32 37 52 68 77 86 109 128 121 100 76 54 36 25 19 16 16 15 12 8 4 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 0 3 19 59 88 96 88 74 66 67 76 90 108 118 120 116 112 104 85 60 39 30 34 52 67 71 76 93 96 67 57 45 31 20 12 8 8 11 11 7 4 2 1 1 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 0 0 0
0 0 9 37 80 101 92 72 56 53 62 76 90 102 110 115 115 124 124 104 73 48 34 41 66 74 63 52 51 53 41 32 26 18 10 4 3 5 6 4 2 0 1 2 2 1 0 0 0 0 0 0 1 1 1 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 1 16 52 87 94 73 50 37 38 51 69 81 86 88 90 94 108 123 116 88 61 49 60 89 90 63 37 23 20 21 20 16 12 5 1 2 2 2 0 0 0 0 2 4 4 2 1 0 0 0 0 1 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 3 20 56 82 80 58 41 32 30 39 54 65 66 64 63 73 90 117 124 105 77 66 79 103 106 74 40 22 14 12 11 9 6 2 0 0 0 0 0 0 0 0 1 4 6 6 6 4 1 0 0 1 3 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 0 0 0
3 9 24 56 77 76 60 48 40 34 34 40 45 45 44 47 58 79 108 130 121 93 76 84 105 109 84 47 22 10 6 5 4 2 0 0 0 0 0 0 0 0 0 1 4 8 10 11 8 3 0 0 1 3 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 0 0 0
3 12 29 55 79 83 73 62 54 48 43 39 36 33 31 36 50 69 94 119 132 107 80 77 88 92 76 45 19 5 2 3 3 2 1 2 2 2 1 0 0 0 0 2 5 9 13 12 6 2 2 2 3 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 0 0 0
2 10 27 51 72 82 79 70 66 63 57 51 44 37 30 35 51 70 90 113 130 119 86 65 61 62 54 38 20 10 5 4 2 2 3 5 6 6 4 3 2 1 2 4 7 10 12 10 6 5 4 3 4 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 4 16 33 49 59 63 63 65 67 67 67 65 57 47 45 60 79 93 107 119 118 96 65 45 38 34 28 20 14 9 5 3 5 7 10 11 11 8 6 4 2 2 4 6 8 8 6 4 8 12 9 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 0 0 0 0 0 0 0 0 0 0 0 0
0 1 5 13 20 26 32 39 47 55 65 77 85 81 72 68 78 94 99 102 109 114 105 81 54 36 27 22 18 13 9 8 9 14 18 21 20 13 7 4 2 1 0 2 4 5 4 2 4 12 21 12 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 0 1 4 4 5 8 17 27 40 58 81 95 98 93 90 96 107 111 105 106 112 112 100 78 55 38 29 25 22 20 22 24 28 30 30 23 10 3 1 1 0 0 0 2 3 3 1 5 15 20 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 0 0 0 0 0 0 0 0 0 0 0 0
0 1 3 4 2 1 2 12 23 36 56 80 99 106 103 99 100 110 119 116 111 116 119 114 100 81 64 52 47 46 46 45 42 39 36 29 17 6 2 1 0 0 0 1 2 3 2 1 6 13 13 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
3 6 9 10 10 10 13 24 36 47 61 79 96 107 105 97 95 103 118 126 127 129 132 130 122 109 94 82 74 68 63 55 48 41 34 24 13 5 2 0 0 0 0 2 3 3 1 3 7 6 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 0 0 0 0 0 0 0 0
10 16 19 21 24 29 36 43 52 61 70 83 98 106 101 90 88 95 110 127 139 146 151 151 143 129 114 100 87 74 63 52 44 37 30 20 11 4 1 1 0 0 1 2 3 2 2 7 12 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 0 0 0 0 0 0 0 0
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