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 9 9 8 7 8 9 8 7 8 8 9 9 10 10 9 9 10 10 9 9 9 9 8 9 9 10 9 8 8 8 10 10 9 9 9 10 11 10 9 9 6 4 3 5 8 10 10 10 9 9 9 8 9 10 11 10 8 8 10 11 10 9 7 8 9 8 8 8 8 7 7 8 9 9 9 9 9 9 8 7 6 7 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 8 8 7 6 7 7 8 8 8 9 9 10 9 8 8 8 7 7 7 7 7 7 7 7 8 9 9 8 9 9 8 6 6 8 10 10 10 9 10 11 10 10 9 9 10 10 10 9 10 10 9 9 8 9 10 10 9 9 9 9 9 9 10 9 9 10 11 nan
nan 8 8 8 8 7 8 9 7 7 8 9 12 11 10 9 9 10 11 9 8 9 10 9 8 10 10 9 8 8 9 9 10 10 9 9 10 9 9 9 9 7 5 5 6 7 7 8 9 9 8 7 6 8 11 11 9 6 7 9 10 11 9 7 7 8 8 8 8 9 8 7 7 8 9 10 10 9 9 8 7 7 8 8 8 7 6 6 6 8 8 10 10 10 9 8 9 9 10 10 8 7 7 6 6 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 9 9 10 10 7 5 6 7 9 9 9 8 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 nan
nan 8 9 8 8 7 8 9 7 7 8 9 11 12 12 11 10 10 11 10 7 8 9 9 9 11 11 9 9 9 10 10 10 10 10 9 8 8 8 9 9 9 8 8 9 8 7 7 8 8 6 6 7 9 11 11 8 7 7 8 9 10 9 7 7 7 8 9 9 8 8 7 7 7 8 9 10 9 8 8 8 8 7 8 8 8 7 6 6 7 8 9 10 10 9 9 9 9 10 11 10 8 8 8 8 7 7 6 7 7 8 10 8 7 7 7 7 7 7 7 7 7 7 7 8 10 10 10 8 6 6 6 7 7 7 8 9 10 11 11 10 9 9 9 9 9 10 9 9 9 9 9 9 9 8 8 9 10 10 10 9 9 8 7 8 nan
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nan 9 9 10 10 9 8 7 7 7 7 8 9 10 10 11 13 13 12 10 9 8 7 7 8 9 10 10 11 11 12 10 9 10 10 9 8 7 8 7 7 10 12 12 11 9 9 8 6 5 7 10 10 9 8 8 8 10 11 11 10 9 9 8 7 8 9 8 8 8 9 9 8 6 7 8 8 8 7 8 8 8 9 8 8 8 9 9 8 8 8 8 9 9 9 9 8 7 7 9 9 9 8 8 9 9 9 8 8 9 9 9 9 9 7 6 7 8 7 7 6 7 9 9 8 8 8 8 10 11 11 10 8 7 8 9 9 9 9 10 10 10 8 8 9 10 10 10 10 10 10 10 11 12 12 12 11 10 9 9 8 8 8 8 6 nan
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nan 10 10 11 12 12 12 12 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 12 10 10 11 10 10 10 9 8 7 6 5 5 6 8 9 9 9 8 8 8 7 7 8 9 9 8 8 7 7 7 7 9 13 15 12 9 8 8 9 9 9 10 11 10 8 9 10 11 10 9 9 9 9 9 9 9 9 9 9 9 11 13 13 11 11 11 12 11 12 14 16 18 17 14 11 10 11 12 13 14 13 11 10 9 8 8 7 7 6 5 5 5 5 5 5 4 4 5 8 9 8 8 8 7 6 6 6 7 8 8 8 7 6 8 10 9 9 10 9 9 10 11 11 10 10 10 11 11 10 9 8 8 9 8 8 8 nan
nan 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 10 9 9 9 9 9 10 10 9 8 7 6 6 7 7 8 9 10 9 9 8 7 7 8 9 10 9 8 8 7 6 6 7 14 16 12 9 8 9 9 8 8 8 8 7 6 7 9 10 10 8 8 8 8 8 9 10 10 9 9 8 10 11 10 10 11 12 13 13 13 14 19 21 19 15 11 10 11 12 14 16 16 15 13 13 12 11 9 9 8 7 7 6 6 6 6 4 2 1 2 4 5 5 4 5 6 6 6 6 6 7 7 8 10 11 10 9 8 8 8 9 9 9 9 10 12 11 11 10 9 9 9 9 9 9 9 9 nan
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nan 9 8 8 7 7 6 7 7 6 7 7 7 8 8 8 9 9 9 9 9 9 10 11 12 12 13 14 14 13 13 12 11 11 11 12 12 12 12 12 11 10 10 10 9 8 8 9 9 8 9 9 9 8 8 8 8 9 9 9 10 11 11 11 12 12 14 14 13 12 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 11 12 11 11 12 12 11 12 12 12 11 11 9 9 8 9 9 9 9 10 11 12 12 11 11 12 12 12 12 11 11 11 10 10 10 10 10 11 10 10 10 10 9 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 11 10 10 nan
nan 9 8 7 7 6 7 7 7 8 8 8 9 9 9 10 10 11 11 10 11 12 13 14 14 13 14 13 13 12 11 11 10 11 11 11 12 13 12 11 10 9 9 9 9 8 8 8 8 8 8 9 9 10 9 9 9 9 10 11 11 11 11 11 12 13 13 14 13 12 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 11 11 11 12 11 11 11 12 12 12 11 10 9 8 8 9 11 11 10 10 10 11 11 12 11 12 12 12 12 11 11 11 11 10 10 11 10 10 10 10 10 10 9 9 9 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 12 11 11 11 11 11 11 11 11 11 11 12 10 10 11 12 12 11 11 nan
nan 10 9 8 7 8 7 8 9 9 9 10 10 11 10 11 11 12 11 12 12 12 13 14 14 14 13 12 11 10 10 9 10 10 10 9 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 10 9 10 10 11 11 11 11 11 11 13 14 14 13 12 12 11 11 11 10 10 10 10 10 10 9 10 10 10 10 10 10 11 11 11 12 12 12 12 11 12 11 9 8 7 8 10 11 12 12 11 10 10 10 11 12 11 12 11 11 11 11 11 11 12 13 11 12 11 11 11 10 10 9 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 10 11 13 13 12 11 nan
nan 10 10 9 9 8 8 9 9 10 10 11 11 11 11 11 12 12 12 12 11 12 13 13 13 13 12 11 10 10 9 10 9 9 8 8 8 8 8 8 7 8 8 8 9 9 8 8 9 10 10 10 11 11 11 10 10 10 11 11 12 11 11 12 12 13 13 13 13 13 12 11 11 10 10 10 9 10 10 10 10 9 9 10 10 9 10 10 10 11 11 12 12 12 12 11 10 9 8 8 8 10 11 12 12 11 11 10 10 11 12 11 11 11 11 11 11 12 13 14 13 13 17 18 14 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 10 11 11 11 11 10 11 12 12 12 12 11 12 11 11 11 11 12 12 nan
nan 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 12 12 11 11 12 13 13 13 12 12 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 11 11 11 11 11 10 11 12 12 12 11 11 12 12 12 12 11 12 12 11 11 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 9 10 11 12 11 11 10 10 10 10 12 12 11 11 11 12 14 16 18 20 18 13 17 24 19 13 11 11 11 10 10 10 10 10 11 10 10 10 10 10 9 9 10 9 10 10 10 10 10 11 11 11 11 12 12 11 11 11 12 12 12 11 11 11 11 nan
nan 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 10 10 11 12 12 12 12 11 11 11 9 9 10 9 9 10 10 9 9 9 9 8 8 9 10 10 10 10 10 10 10 10 10 11 11 12 12 11 11 12 12 12 12 12 12 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 10 10 9 10 10 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 10 10 11 11 12 12 11 11 10 10 11 11 11 11 11 11 12 15 19 22 22 19 14 14 20 21 17 13 11 11 11 12 13 11 11 11 11 10 10 9 9 8 8 9 9 10 11 11 10 11 11 11 12 12 12 11 11 11 11 11 11 12 11 11 11 11 nan
nan 9 10 10 11 11 11 10 10 11 11 11 10 10 10 10 9 9 10 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 11 11 11 12 11 11 12 12 12 12 12 11 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 9 10 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 11 12 13 13 13 12 11 11 11 11 12 12 11 11 12 13 14 14 13 13 11 8 10 13 15 18 16 11 10 13 15 15 13 11 11 11 11 10 10 9 9 9 9 10 12 12 12 11 11 11 11 11 12 11 10 10 11 11 12 12 12 11 11 11 10 nan
nan 10 11 11 10 11 12 12 11 11 11 11 10 10 10 9 9 10 11 11 11 11 10 10 10 9 9 10 10 10 10 9 10 10 10 10 9 9 8 9 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 12 11 11 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 12 12 12 11 11 10 10 10 10 10 11 10 11 11 10 10 11 12 11 10 10 10 9 9 11 13 13 13 13 14 13 12 12 12 12 12 13 15 16 17 17 13 10 8 6 5 6 7 8 13 14 11 9 12 15 14 13 11 11 11 11 10 10 9 8 9 10 11 12 12 11 11 11 11 11 11 11 12 11 11 12 12 13 13 12 11 11 11 10 nan
nan 11 11 12 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 9 10 10 10 10 10 9 9 10 9 9 9 9 9 10 10 11 12 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 11 11 10 10 11 11 11 12 12 11 11 11 12 12 12 11 12 12 12 12 12 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 12 13 13 13 13 13 13 13 13 13 14 16 20 21 20 19 16 12 9 7 7 6 6 7 10 10 10 9 9 10 11 11 10 10 10 10 10 8 8 8 9 11 12 12 11 11 11 11 11 11 12 12 12 12 11 11 12 12 13 13 11 11 11 10 nan
nan 11 11 12 12 13 13 13 13 13 12 11 11 11 11 11 11 12 12 12 12 11 11 11 10 11 10 11 12 11 11 10 10 9 10 10 10 11 11 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 11 10 10 11 10 11 11 11 11 11 12 12 11 12 12 12 12 12 13 13 13 13 12 13 11 11 11 11 10 11 11 11 11 11 11 11 12 11 10 9 9 10 10 10 11 12 13 13 12 13 14 14 15 15 17 21 22 22 20 15 11 9 8 9 8 7 7 7 8 9 11 11 10 7 8 9 10 11 11 10 10 9 9 9 10 11 11 11 11 10 11 12 11 12 12 12 12 11 10 11 11 12 13 12 11 11 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
15 26 34 37 39 41 42 34 27 27 32 36 38 38 40 42 43 43 44 48 56 68 84 98 103 95 90 90 87 84 82 80 80 79 76 70 65 60 49 31 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 5 11 16 20 22 24 33 39 41 39 36 36 38 35 28 18 11 7 7 14 22 30 36 40 38 37 33 30 30 31 33 35 40 47 54 58 61 58 57 63 79 97 102 103 94 87 79 70 59 52 56 67 84 101 115 144 147 121 79 50 43 54 72 85 87 80 67 55 55 59 61 57 48 54 58 57 56 54 52 50 49 52 58 63 65 62 57 55 53 52 51 50 51 53 50 42
13 23 28 29 28 29 30 27 23 22 23 26 28 30 31 34 35 36 39 48 56 67 81 94 100 89 85 81 73 71 76 77 77 70 68 66 62 54 36 19 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 3 9 16 22 27 31 38 44 47 48 48 47 47 44 36 26 17 12 12 16 20 25 29 33 33 32 31 32 34 35 34 36 45 57 65 64 61 55 52 53 58 66 67 69 74 77 77 74 69 62 61 67 82 103 115 142 150 137 110 76 43 44 58 73 82 84 79 72 67 66 67 62 50 52 59 62 63 61 60 57 54 52 54 56 58 56 54 54 55 57 56 55 56 59 60 55
10 16 19 20 20 19 18 18 18 17 18 19 21 21 21 24 26 29 34 46 54 64 77 90 95 88 86 79 68 64 67 70 68 65 64 62 56 45 26 12 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 1 5 12 22 30 34 39 42 46 49 54 57 55 51 43 34 25 18 17 18 19 21 23 25 26 26 24 22 24 28 30 34 47 61 67 65 58 52 48 47 46 48 49 52 56 62 68 72 68 65 63 64 73 92 105 111 127 138 128 89 54 44 49 61 70 76 81 82 78 76 76 72 57 50 52 56 58 60 62 61 59 58 58 58 55 53 53 55 60 65 66 65 66 68 68 63
6 8 10 11 12 12 11 12 13 13 14 15 16 14 14 16 20 25 31 40 48 58 71 83 88 86 84 76 66 60 60 62 61 60 59 54 45 32 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 2 6 15 23 26 29 32 36 42 50 58 61 56 48 38 28 19 16 15 16 18 19 21 22 21 18 16 18 24 29 37 49 60 62 61 55 47 41 39 40 44 47 49 50 53 61 71 72 73 71 69 72 86 99 107 116 123 123 105 82 66 57 54 53 58 70 80 84 84 87 87 67 54 49 48 49 54 56 56 56 58 60 59 56 55 55 57 62 65 66 68 72 74 74 68
3 5 5 6 6 7 7 7 8 9 10 11 12 11 12 12 15 20 27 33 40 49 62 74 83 86 84 77 68 61 58 58 55 52 49 43 34 21 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 2 6 11 13 14 17 22 29 37 46 52 55 51 41 29 21 14 12 12 14 15 19 20 21 20 18 18 27 38 47 56 64 68 65 58 48 38 34 35 44 48 48 47 50 60 73 82 86 85 82 81 88 96 107 122 137 129 119 108 94 76 60 52 52 62 73 82 85 86 94 80 65 55 48 47 50 54 54 55 58 63 66 64 61 59 58 57 56 57 59 64 68 69 65
2 3 4 4 4 4 3 2 3 4 6 8 9 11 10 10 13 17 22 27 32 40 50 63 75 80 80 75 68 61 57 57 49 44 39 34 25 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 2 3 4 4 5 8 14 20 29 38 45 44 36 27 22 16 13 12 12 12 14 18 21 23 24 26 37 48 55 59 68 77 78 71 58 46 42 45 48 48 46 45 47 59 77 90 95 93 88 90 92 94 104 127 159 145 132 124 114 96 75 65 62 62 66 76 78 78 80 75 67 59 52 52 54 58 60 59 61 67 71 71 68 64 61 59 56 52 50 52 55 58 57
1 2 4 5 5 4 2 0 0 1 3 5 7 9 9 10 12 16 18 21 24 29 38 50 61 66 70 70 63 54 47 45 39 33 28 22 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 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 14 24 31 29 24 21 19 17 14 13 11 11 13 16 20 23 26 33 44 54 58 56 64 77 85 82 73 65 61 59 57 55 52 51 53 66 86 100 104 101 97 96 95 96 100 114 134 134 136 137 131 122 94 81 76 73 72 76 77 71 64 59 58 57 55 58 64 69 72 69 69 71 73 75 75 71 69 67 63 56 52 52 54 55 54
0 1 3 4 4 3 2 0 0 0 1 3 6 7 8 9 11 14 15 16 16 17 23 34 44 47 58 59 50 38 30 26 24 19 15 11 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 2 3 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 2 2 5 9 13 13 13 14 15 15 13 12 11 11 11 12 16 20 24 33 43 51 53 50 55 68 79 84 82 78 74 73 72 71 67 65 70 85 105 117 116 109 103 101 101 102 102 106 116 125 138 148 143 136 114 102 97 94 88 85 81 72 64 57 52 52 57 66 75 82 87 88 84 79 77 80 78 74 75 77 74 67 62 60 59 57 53
0 0 2 3 3 3 2 0 0 0 0 2 4 6 7 8 10 11 12 11 10 9 12 19 26 32 45 44 33 21 14 13 12 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 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 6 8 10 12 12 12 11 10 10 11 13 16 23 30 37 43 43 43 48 58 69 75 74 73 72 76 80 81 78 79 86 102 121 134 131 121 116 114 116 120 119 124 131 138 149 159 152 143 134 128 124 121 109 103 94 82 69 59 53 51 56 67 82 93 93 94 90 83 78 82 82 82 85 87 85 77 71 67 64 62 59
0 0 0 2 2 3 2 0 0 0 0 1 3 5 7 8 8 10 10 9 7 6 6 9 13 24 34 30 18 9 6 5 5 4 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 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 7 9 11 11 11 10 11 14 19 25 30 36 41 42 42 46 53 61 65 60 60 60 65 70 73 73 78 90 106 123 136 134 131 131 131 131 135 140 146 151 158 167 174 166 160 157 155 151 144 136 128 112 93 79 70 59 53 53 61 79 98 96 92 86 76 71 72 73 78 84 87 84 80 77 74 74 75 70
0 0 0 1 2 3 2 0 0 0 0 0 2 3 5 6 6 6 6 6 5 4 4 6 9 20 28 22 11 3 1 1 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 1 1 1 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 3 5 7 9 9 10 11 15 20 26 32 38 43 44 44 46 50 55 56 55 52 52 54 58 60 63 72 87 104 121 130 122 121 123 127 129 132 141 145 148 153 164 171 172 176 176 170 163 153 145 135 121 103 88 79 65 54 50 52 65 78 84 83 75 65 59 57 59 62 69 71 74 78 82 88 94 94 86
0 0 0 1 2 3 4 2 1 0 0 0 1 2 4 4 4 4 3 4 4 3 3 4 8 19 25 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 1 2 2 2 2 2 2 2 4 5 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 8 13 16 20 25 32 36 41 42 43 45 49 50 51 51 50 51 52 54 55 59 70 86 100 109 102 97 96 99 105 109 116 125 132 134 132 135 147 155 161 162 159 156 150 141 131 121 114 101 89 73 57 49 47 54 64 71 75 76 74 68 66 67 71 74 73 72 76 88 108 123 115 104
0 0 0 1 2 3 4 4 3 2 1 0 1 2 2 2 2 2 1 1 2 2 2 2 6 17 19 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 1 2 3 4 5 6 7 9 10 9 6 3 2 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 18 20 26 32 35 38 40 42 44 48 50 50 52 54 54 53 55 56 62 73 84 89 85 76 71 72 76 82 92 103 112 119 122 121 120 129 136 138 132 124 123 126 130 127 112 113 111 104 89 68 50 48 51 57 63 72 82 95 102 107 108 104 98 88 79 78 91 111 125 122 110
0 0 0 1 2 3 4 4 4 4 2 1 1 1 1 1 1 1 0 0 0 0 0 1 3 12 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 1 2 4 7 8 10 12 14 13 9 5 3 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 2 9 16 21 25 31 37 39 42 44 46 47 47 45 45 45 45 46 48 52 56 62 68 72 70 63 58 56 59 65 73 84 92 99 105 111 113 116 121 127 128 115 103 96 98 108 116 116 115 115 114 108 93 72 59 58 64 69 77 89 108 126 140 142 128 109 91 83 87 96 104 109 107 100
0 0 0 1 2 4 4 5 6 6 4 2 1 1 0 0 1 1 0 0 0 0 0 0 2 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 1 3 7 11 13 15 18 18 15 11 8 6 6 5 4 2 0 0 0 0 0 0 0 0 1 3 5 8 15 25 33 40 47 54 52 50 51 51 48 40 36 36 36 35 36 39 44 49 54 58 57 52 50 50 53 58 65 72 80 88 96 104 111 116 118 120 122 122 109 99 92 90 97 109 117 117 117 117 110 104 91 81 78 85 94 99 106 116 126 137 138 128 108 93 92 102 104 100 94 89 83
0 0 1 3 4 5 6 7 7 7 5 2 2 2 1 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 1 4 9 14 18 22 24 23 20 15 11 8 7 6 4 1 0 0 0 1 1 2 3 7 11 15 24 37 49 59 65 68 72 64 59 56 54 49 40 33 30 29 30 31 35 40 44 46 45 41 40 42 46 52 58 63 66 72 81 94 107 116 123 125 124 123 116 108 102 98 99 102 108 115 120 122 119 112 105 97 93 97 107 117 121 120 114 103 106 125 123 111 102 107 118 118 106 85 67 57
0 0 2 4 6 7 8 8 8 7 6 4 3 3 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 2 5 10 16 23 27 29 27 22 17 12 10 9 7 3 1 0 2 6 10 15 19 24 28 31 40 54 69 80 83 78 73 65 58 52 46 40 33 27 23 23 24 28 35 42 44 41 33 27 27 32 39 46 51 51 52 57 68 83 98 112 121 124 122 120 114 109 104 101 105 109 110 112 115 114 112 109 105 102 103 110 118 122 123 118 109 94 98 107 110 108 107 113 118 117 106 85 63 47
0 0 3 6 7 8 9 9 8 7 6 6 6 6 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 2 5 14 22 27 29 29 25 20 16 14 12 10 6 4 5 9 17 26 38 49 57 61 60 63 71 82 91 91 77 62 49 41 36 35 33 29 24 19 16 15 19 25 31 34 31 23 18 17 22 29 38 41 40 41 46 54 66 80 94 104 108 108 104 100 97 95 96 103 108 108 106 100 94 90 87 86 90 100 107 109 110 107 103 102 96 90 88 94 101 99 98 96 92 86 78 64 49
1 2 4 6 8 9 10 9 8 7 7 7 8 8 7 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 1 12 22 26 27 26 24 20 16 14 13 12 11 11 14 21 32 44 61 80 97 105 97 92 92 95 95 86 66 46 35 32 32 30 30 29 27 23 17 13 12 13 16 18 18 15 12 13 16 21 28 31 32 33 36 40 47 55 65 74 82 86 84 83 82 80 82 86 93 101 103 84 74 65 58 57 66 78 82 81 80 81 84 85 78 73 75 83 88 83 79 76 75 74 70 63 52
2 3 5 7 9 10 10 10 9 8 9 10 11 13 11 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 1 13 24 30 30 27 24 19 16 14 15 15 15 19 27 36 44 54 71 93 111 120 112 103 100 97 91 75 52 32 21 18 18 21 22 22 23 23 21 17 13 10 8 8 8 7 6 7 10 14 18 20 21 22 23 24 28 35 43 52 63 68 70 70 69 68 72 77 90 107 108 73 60 53 52 57 64 66 64 62 63 71 78 81 78 75 75 80 78 75 73 73 73 70 65 58 50
2 4 6 8 9 10 10 10 10 10 11 12 15 21 18 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 3 16 31 41 39 29 23 18 16 16 18 17 17 20 28 37 46 54 72 94 112 116 107 100 97 95 84 64 38 20 13 13 14 16 16 16 17 18 20 20 17 12 7 3 1 1 1 2 3 5 7 8 9 9 10 12 16 23 32 42 52 58 60 60 60 66 70 74 85 96 85 63 54 50 51 58 65 66 66 67 70 76 80 83 83 81 81 82 77 74 74 72 67 64 65 62 48
3 5 6 8 10 10 10 11 12 12 13 16 22 28 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 4 16 31 41 33 20 16 17 20 22 21 17 15 16 19 26 38 52 73 101 127 129 117 107 101 95 77 53 30 16 12 13 19 22 22 22 22 24 28 29 25 17 9 4 2 0 0 0 0 0 1 1 1 1 3 7 11 17 24 33 42 48 50 50 53 59 65 68 68 72 66 61 56 53 52 55 61 67 72 75 73 74 77 80 81 79 78 79 75 70 65 56 53 61 71 68 45
2 5 6 8 9 10 10 11 13 14 16 20 28 29 19 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 2 9 18 22 12 6 7 13 21 25 24 21 18 17 18 23 34 51 77 110 143 146 138 126 115 102 80 55 35 23 20 20 24 28 33 38 43 48 50 47 38 26 16 9 5 2 1 0 0 0 0 0 0 0 1 4 8 13 18 23 27 31 35 35 37 42 50 57 63 69 70 66 62 58 53 59 64 68 73 78 76 77 77 76 73 70 72 73 71 64 57 52 49 55 63 48 27
2 4 6 7 8 9 10 12 13 15 17 21 28 26 17 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 3 7 6 2 0 2 7 13 17 19 22 24 26 27 33 46 63 86 117 144 151 150 144 130 112 94 78 63 51 43 40 40 42 46 50 56 63 66 62 52 37 25 17 12 8 5 2 1 0 0 0 0 0 0 1 4 9 12 14 15 18 23 25 30 39 49 61 75 76 76 76 73 67 66 69 69 69 73 76 79 87 92 86 78 77 77 76 71 62 58 50 43 44 51 37 30
2 3 4 6 7 8 9 10 11 13 15 19 24 24 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 1 1 0 0 0 1 2 4 5 6 9 15 24 35 45 59 76 96 120 134 144 149 146 130 114 108 105 98 85 72 62 54 49 48 47 48 52 56 57 52 43 36 29 24 19 14 9 5 3 1 0 0 0 0 1 2 5 9 12 13 17 25 35 44 51 59 74 93 89 86 87 84 79 76 74 71 68 75 73 81 94 101 94 85 83 82 78 70 60 60 55 48 44 40 32 33
2 2 4 4 5 5 5 6 8 9 12 15 20 23 17 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 1 5 15 34 49 63 79 96 109 118 129 136 133 118 113 119 119 109 94 84 71 57 47 41 38 36 38 42 48 55 54 52 48 44 39 31 24 18 14 9 5 3 4 6 7 8 9 12 15 20 28 40 52 67 78 83 92 100 100 101 110 114 101 88 81 78 78 81 83 88 92 92 83 76 74 70 60 57 54 55 57 58 57 44 31 32
1 2 3 3 2 2 1 2 3 5 8 11 18 24 18 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 1 5 17 34 49 64 79 95 100 107 121 131 126 117 121 123 113 93 74 65 57 49 40 35 31 30 35 43 52 62 69 71 70 68 67 62 59 53 45 37 30 24 22 22 22 23 23 23 25 28 38 51 64 80 100 111 113 111 108 112 126 120 104 93 90 86 88 91 95 95 88 79 67 64 63 55 46 45 46 48 49 52 52 45 40 42
2 1 2 1 1 0 0 0 1 2 5 10 20 22 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 1 5 5 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 12 26 41 53 67 82 93 93 102 120 136 135 126 118 104 82 57 37 30 29 30 30 28 29 32 40 50 61 69 74 76 77 77 79 79 77 74 69 62 53 47 44 42 41 45 47 45 42 40 45 54 67 86 111 127 132 128 120 120 124 116 105 97 93 86 82 83 85 84 73 67 61 57 54 45 39 39 39 38 41 43 43 43 45 50
2 0 0 0 0 0 0 0 0 3 8 14 19 13 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 2 10 10 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 30 46 56 66 76 88 85 79 91 118 145 145 125 98 69 42 21 12 11 14 17 21 24 28 34 43 52 59 65 68 70 71 70 73 73 72 69 66 59 52 48 46 46 49 63 76 83 86 78 75 77 86 101 122 134 137 129 112 104 100 95 90 86 82 73 65 59 54 52 48 45 42 41 41 36 34 34 35 33 38 42 45 50 57 52
1 0 0 0 0 0 0 0 1 5 11 15 13 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 3 12 12 7 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 6 17 35 54 68 77 85 94 98 85 76 88 119 150 138 106 71 39 16 5 4 7 11 14 15 18 22 28 34 41 46 52 58 63 65 65 65 63 60 57 54 51 48 45 42 44 51 69 92 113 126 127 119 111 110 116 127 128 120 105 88 78 69 64 61 57 51 43 35 29 25 24 22 21 20 20 22 24 26 28 31 36 41 46 51 55 52 31
0 0 0 0 0 0 0 0 3 8 11 11 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 1 6 20 15 8 2 0 0 0 0 0 0 0 0 0 0 0 0 2 9 21 38 58 74 85 96 107 117 114 100 92 102 128 143 114 77 44 19 5 2 4 8 12 14 14 13 14 18 24 30 36 43 50 56 58 56 53 50 47 46 44 44 45 46 46 52 63 77 91 103 117 125 122 111 103 100 98 90 77 61 46 36 32 30 29 24 18 14 10 8 6 6 6 5 5 6 6 9 13 18 25 32 37 40 40 44 38 20
0 0 0 0 0 0 0 2 5 8 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 2 9 19 16 8 2 0 0 0 0 0 0 0 0 0 0 0 3 9 20 35 54 75 90 103 115 127 136 127 114 108 116 135 120 84 48 21 6 1 2 5 11 16 20 18 14 12 12 15 21 27 34 41 45 44 40 37 34 33 35 37 40 43 48 50 56 62 67 67 64 64 67 68 65 59 52 44 34 23 17 11 9 8 7 6 5 3 2 1 0 0 0 0 0 1 2 4 8 12 14 16 20 25 27 23 26 24 20
0 0 0 0 0 0 1 4 7 7 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 1 2 4 13 18 14 8 2 0 0 0 0 0 0 0 0 0 0 2 10 20 35 55 78 99 112 122 132 142 147 134 122 118 123 123 93 55 24 7 1 0 1 6 13 19 26 24 19 14 11 11 13 17 23 29 31 30 28 26 25 24 26 31 38 45 51 52 58 61 56 52 45 38 31 24 18 15 11 8 5 2 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 4 9 14 14 10 9 12 15 18 17 18 19 24
0 0 0 0 0 1 2 5 5 4 2 2 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 2 4 5 6 13 17 12 4 1 0 0 0 0 0 0 0 0 0 1 7 19 36 60 87 108 128 134 137 143 150 147 136 129 126 122 103 69 35 11 1 0 0 2 7 14 21 24 22 16 12 9 8 10 13 18 22 22 22 22 22 22 21 24 30 40 49 56 55 57 61 54 47 42 35 25 12 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 15 18 13 9 8 11 15 16 19 19 18 18
0 0 0 0 0 1 3 4 4 4 5 6 5 4 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 2 6 10 11 10 13 18 12 1 0 0 0 0 0 0 0 0 0 1 3 12 28 52 83 114 120 140 146 146 146 147 140 134 131 126 114 86 55 27 9 2 2 4 9 16 24 30 29 21 11 7 6 6 8 12 17 19 19 18 18 17 17 18 24 33 44 54 60 60 59 61 64 66 58 44 26 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 12 17 14 8 6 10 21 24 22 22 25 27 22
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