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