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