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