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 8 7 7 9 9 8 7 7 6 8 12 15 13 10 9 11 11 12 13 12 12 10 10 9 7 8 11 12 12 10 8 7 7 9 10 11 11 10 10 9 10 9 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 7 7 8 8 8 8 8 8 8 7 7 8 9 9 8 8 8 7 6 5 6 6 6 6 6 6 8 8 9 9 9 8 8 8 8 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 8 8 9 10 10 10 11 10 9 8 7 6 5 4 7 8 9 9 9 10 10 10 10 11 11 11 10 9 8 8 8 7 8 9 11 12 12 10 9 9 8 9 9 10 9 9 10 12 nan
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nan 12 12 12 11 10 9 10 11 12 12 12 11 11 11 11 10 10 9 10 9 9 9 9 8 8 7 8 8 8 9 9 9 9 9 8 8 8 9 9 9 10 9 9 9 8 9 9 10 10 10 12 13 13 13 12 12 11 11 11 10 9 9 9 9 11 12 12 12 12 11 11 12 12 12 10 10 9 10 10 11 11 11 11 10 10 10 10 10 11 11 12 13 14 15 14 13 11 10 9 8 8 9 9 8 8 9 9 10 11 11 12 13 13 13 12 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 9 10 10 10 10 11 10 10 10 10 9 9 10 11 11 10 10 10 11 10 10 10 11 11 12 11 10 11 11 12 11 11 nan
nan 14 16 17 16 14 13 14 15 14 13 11 11 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 9 9 9 9 9 10 10 9 10 10 10 10 9 9 9 9 10 10 10 9 10 10 11 12 13 12 11 11 10 11 10 11 10 9 9 10 11 12 12 12 13 13 13 13 12 11 10 9 10 10 10 11 11 10 9 9 9 9 10 10 12 12 13 14 15 15 15 13 11 9 8 8 9 11 11 9 7 8 9 10 11 11 12 13 13 12 12 12 11 11 10 11 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 9 9 9 10 10 10 9 9 11 12 11 11 11 10 10 10 11 11 11 11 11 10 9 11 13 13 12 11 nan
nan 17 17 18 17 16 16 16 16 16 12 10 9 9 8 8 9 9 9 9 8 8 8 7 8 8 8 9 9 10 10 10 9 9 11 12 12 11 10 10 9 8 9 9 10 10 10 10 10 10 10 11 12 12 12 11 11 11 10 11 11 10 10 10 10 11 13 13 13 13 13 12 13 12 10 10 9 9 9 9 10 10 9 8 8 9 9 10 11 12 13 14 15 15 15 15 13 11 9 9 10 11 13 12 10 8 7 8 9 11 11 13 12 12 13 12 11 12 12 12 12 12 13 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 10 10 10 11 10 10 11 11 12 11 11 11 10 11 13 13 13 13 nan
nan 17 18 18 18 17 16 15 14 13 11 9 8 8 8 9 10 10 10 9 8 9 10 10 10 10 11 11 11 10 10 10 9 11 13 13 13 11 9 8 7 8 9 8 9 9 9 9 9 9 10 11 12 12 12 12 12 12 11 11 11 11 11 10 10 12 12 13 12 12 12 11 10 10 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 11 12 13 15 15 15 14 13 12 10 10 11 11 12 11 10 9 8 7 9 10 12 12 12 12 12 12 11 12 13 13 13 13 18 19 14 11 11 11 11 11 10 10 10 10 10 10 10 9 10 11 11 10 10 10 10 10 10 10 10 10 9 10 11 11 11 11 11 12 12 12 12 12 12 13 13 nan
nan 15 15 16 16 15 13 12 10 10 9 8 8 8 9 10 11 10 9 9 10 10 10 11 12 12 11 11 11 9 9 10 11 12 13 13 12 10 9 8 8 9 8 8 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 11 12 11 11 11 11 11 11 12 12 11 10 10 9 9 10 10 10 9 9 10 9 8 9 9 9 9 9 10 10 10 11 12 14 15 16 15 13 12 11 12 12 12 11 11 10 9 8 8 9 10 12 12 11 11 11 13 13 15 18 18 17 12 17 24 20 13 11 10 10 10 10 10 11 11 11 11 10 10 10 10 9 9 9 9 9 10 10 9 9 10 10 11 11 12 11 11 11 12 13 13 12 11 11 12 12 nan
nan 12 13 13 11 10 11 12 10 9 8 7 7 8 9 9 9 9 8 9 10 11 11 11 12 12 11 11 10 9 10 11 12 13 13 11 10 9 9 8 9 9 8 9 9 10 9 9 9 9 10 11 12 13 14 13 13 12 12 12 11 11 10 10 11 11 11 10 11 11 11 10 10 10 10 11 11 11 10 10 9 8 8 9 9 10 10 10 10 10 11 12 14 15 16 15 14 13 12 11 12 12 11 11 10 10 9 9 9 10 12 12 11 10 10 11 14 17 21 22 18 13 14 20 20 15 11 9 10 10 12 12 12 11 11 10 11 10 10 9 9 9 8 8 10 10 11 10 10 10 11 11 11 12 10 11 11 12 13 12 12 12 12 12 12 nan
nan 11 10 9 9 11 12 12 10 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 11 11 11 11 10 10 11 11 10 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 11 12 13 13 13 12 12 11 11 10 10 9 9 10 10 10 10 11 11 11 11 11 10 10 11 12 12 11 10 9 8 8 8 9 10 11 11 10 11 11 13 14 15 16 15 13 13 13 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 13 14 13 13 13 11 10 11 13 14 13 11 9 9 12 15 15 14 12 11 11 11 10 10 10 10 9 10 10 11 12 11 11 10 11 11 11 10 10 10 10 11 12 13 13 13 12 12 11 11 nan
nan 9 8 8 8 9 11 10 9 8 8 10 9 9 8 9 9 9 11 11 10 10 11 10 10 10 10 10 11 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 11 12 12 13 13 12 10 10 10 10 10 9 9 10 9 9 10 10 10 11 10 11 11 10 10 11 11 12 12 10 9 8 8 9 10 10 10 11 11 11 11 13 14 16 16 15 14 12 11 11 11 11 11 11 11 10 11 10 11 12 12 12 12 13 15 17 18 15 10 8 7 7 8 8 8 9 10 9 9 12 14 15 13 11 11 11 10 10 10 10 9 10 10 11 12 12 11 10 9 10 11 10 10 11 10 10 12 13 13 13 13 12 11 11 11 nan
nan 10 10 9 10 11 11 10 9 10 10 10 10 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 8 9 9 10 9 9 9 9 8 8 9 9 10 11 11 11 11 12 13 14 14 12 11 10 10 9 9 9 9 10 9 9 10 10 10 10 10 10 10 11 10 10 11 12 11 10 10 9 9 8 9 9 10 11 11 11 11 12 13 14 15 15 14 13 12 11 10 9 10 10 11 11 11 11 11 12 13 13 13 14 18 21 23 21 16 12 9 8 8 7 7 8 11 11 12 10 9 8 10 11 10 10 10 10 10 10 9 9 11 11 11 11 11 11 11 11 11 11 10 11 11 11 10 11 12 13 14 12 11 11 12 12 nan
nan 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 11 12 12 12 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 11 11 12 12 13 13 14 14 12 11 11 10 9 9 9 9 9 9 9 10 11 11 10 11 11 10 11 11 11 11 11 12 11 10 10 9 8 9 9 9 10 10 10 11 12 13 13 14 15 15 13 11 10 10 10 10 10 10 10 11 12 12 13 14 15 15 19 23 25 22 16 12 9 8 8 8 8 9 11 13 14 14 11 8 4 5 8 10 11 11 11 10 9 9 11 11 11 11 10 11 11 11 12 12 11 11 11 11 10 10 10 11 13 13 13 11 12 12 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
CAPE
6 5 5 4 5 8 10 11 11 12 14 16 18 22 28 31 26 19 17 24 39 54 59 58 53 46 41 36 31 26 21 19 21 18 11 5 1 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 0 0 1 1 0 0 0 0 0 0 0 1 5 14 27 33 34 31 25 18 14 13 13 13 14 17 19 22 26 31 35 40 48 55 60 58 57 58 59 58 56 57 61 66 69 67 61 60 64 69 68 74 78 80 84 85 81 78 88 101 114 123 127 127 102 63 32 18 18 27 36 41 38 31 23 20 25 35 43 47 46 52 52 49 47 46 46 45 42 44 49 55 57 54 47 42 39 38 38 41 47 51 51 46
6 5 3 2 3 5 7 8 10 12 12 12 11 14 21 25 23 17 15 21 34 46 50 50 45 36 29 28 27 22 15 8 5 3 1 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 1 5 13 24 30 34 33 26 17 16 16 16 15 11 9 11 14 18 23 31 42 52 56 58 58 60 63 67 64 63 68 72 70 66 62 61 61 60 60 56 60 70 80 86 88 84 78 79 89 107 122 132 139 127 102 71 38 15 18 25 31 34 34 29 26 27 36 46 51 49 51 52 50 48 45 44 44 41 43 49 57 60 57 51 46 42 41 42 45 50 55 57 57
5 4 1 0 1 2 3 5 8 10 10 9 8 10 15 20 19 14 12 16 20 25 30 33 33 24 20 23 23 18 10 3 1 0 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 0 0 1 1 0 0 0 1 3 8 16 23 28 29 25 14 9 11 13 13 13 12 10 10 14 20 30 43 52 54 54 53 54 62 67 63 62 64 66 62 55 53 55 56 56 57 56 60 68 76 83 85 79 76 71 72 83 104 124 126 127 124 112 72 30 22 23 27 30 33 36 35 35 39 47 52 46 44 45 46 46 45 45 44 43 46 54 61 61 57 52 48 46 46 48 51 55 59 61 62
3 2 0 0 0 0 0 1 4 7 8 8 8 10 15 18 16 13 12 13 12 13 16 21 22 18 18 19 18 12 6 1 0 2 4 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 1 2 3 2 0 0 0 1 2 6 12 18 21 22 16 11 8 6 6 8 7 7 9 15 24 36 48 55 56 53 48 44 59 65 64 62 60 56 52 47 45 43 42 45 54 60 64 68 75 82 84 75 69 63 59 62 77 97 110 117 120 118 88 60 43 34 29 26 27 34 40 44 48 53 55 44 39 39 42 43 44 44 43 44 50 60 65 62 56 51 47 45 46 50 54 56 59 62 64
1 0 0 0 0 0 0 0 2 4 5 6 8 11 15 16 14 12 12 11 9 8 11 13 14 12 13 14 12 7 2 0 1 4 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 1 2 3 2 1 0 0 0 0 2 4 8 11 14 13 10 8 6 5 5 4 3 8 19 32 42 50 54 54 51 43 39 55 66 69 68 68 63 55 51 46 38 29 30 47 56 60 65 73 81 82 75 66 60 55 54 64 76 94 111 118 108 108 93 70 48 34 28 28 34 42 48 48 51 58 50 43 41 40 40 40 38 37 42 55 66 70 65 59 54 51 47 48 51 52 52 53 58 60
0 0 0 0 0 0 0 0 0 1 2 4 6 10 13 13 12 11 10 8 6 6 7 8 8 6 7 8 7 4 0 1 2 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 1 1 1 0 0 0 0 0 0 1 2 4 7 10 12 12 10 7 6 5 6 13 27 39 46 50 51 50 46 39 39 53 66 72 72 76 74 68 64 54 42 35 36 45 50 54 58 63 70 75 72 64 56 53 59 66 74 89 112 129 113 104 89 74 59 40 36 34 36 40 48 48 49 52 50 46 44 42 40 38 38 40 46 59 71 74 70 66 63 61 61 60 56 50 47 47 49 51
0 0 1 1 0 0 0 0 0 0 0 1 4 8 10 12 12 10 6 4 3 3 4 4 3 1 3 5 6 4 2 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 1 1 1 0 0 1 4 9 15 18 14 11 10 10 14 23 35 44 49 49 45 40 36 33 36 48 64 72 72 75 76 79 76 68 56 48 44 45 49 54 56 56 60 68 70 64 59 58 65 73 80 89 103 114 110 106 98 85 84 56 46 41 38 38 46 54 55 51 49 47 46 43 42 42 43 46 51 63 72 77 79 79 73 71 70 66 59 51 47 46 47 49
0 0 1 1 1 0 0 0 0 0 0 0 2 5 9 10 9 6 3 1 0 0 1 1 0 0 1 4 6 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 1 2 4 4 6 6 5 3 3 3 3 6 11 15 15 14 15 18 24 33 43 48 52 48 40 32 28 26 29 39 52 60 64 66 70 72 72 69 65 59 53 52 56 61 61 59 63 69 71 67 62 62 70 80 86 87 87 92 100 110 110 98 120 87 64 51 45 39 45 56 62 65 63 56 52 48 49 52 55 61 69 74 77 80 84 80 74 72 70 66 58 52 49 47 47 49
0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 6 4 2 1 0 0 0 0 0 0 0 1 3 5 6 6 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 1 3 8 13 17 20 20 18 15 11 8 6 6 8 10 12 13 16 20 29 40 50 50 52 47 36 26 23 23 26 32 39 45 52 55 58 58 57 57 59 58 60 64 69 72 69 67 68 73 76 74 72 77 84 92 97 90 86 88 97 107 114 106 113 99 79 63 52 43 47 54 61 66 68 66 61 60 63 70 76 78 84 85 82 80 81 77 74 72 71 67 59 53 50 48 47 48
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 1 3 5 6 6 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 1 5 13 23 31 38 40 37 29 22 18 15 13 12 11 10 10 11 15 22 35 46 50 52 47 37 27 24 23 25 30 36 40 44 46 47 47 47 49 52 54 60 67 73 73 71 71 74 78 82 82 88 99 106 109 109 103 100 99 102 110 116 107 98 94 88 76 60 51 50 51 54 61 69 70 70 70 73 84 95 94 93 90 84 79 76 73 72 72 71 68 63 57 53 52 53 52
0 0 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 5 7 7 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 1 4 13 26 39 50 54 50 39 29 25 23 22 20 16 12 10 8 9 13 22 33 43 46 41 32 24 21 20 22 28 37 41 43 43 42 41 40 44 47 52 58 65 70 72 72 74 78 84 88 93 102 112 118 118 114 112 111 111 112 114 114 109 106 103 98 88 72 62 56 52 52 57 67 70 70 70 75 87 94 98 98 93 87 79 73 68 66 65 60 61 61 61 63 65 63 57
0 0 0 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 5 7 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 2 8 23 44 60 67 65 56 42 33 29 28 27 25 19 14 10 8 9 13 21 29 33 32 25 18 14 14 16 23 34 39 42 43 42 38 38 41 47 53 59 64 70 78 81 82 83 90 91 100 111 120 123 121 117 116 116 115 109 105 104 104 104 101 96 91 80 67 56 52 57 60 67 68 67 68 76 87 95 98 98 98 95 84 76 71 67 63 57 55 56 61 69 76 71 64
0 0 0 0 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 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 3 14 35 58 77 87 81 63 49 41 37 34 32 26 18 12 8 7 9 14 19 23 25 22 16 10 8 9 14 23 29 33 36 37 39 43 51 57 59 60 63 67 73 78 82 85 90 94 103 114 122 123 126 123 119 115 108 97 94 97 98 95 88 81 78 74 70 62 48 57 64 71 73 71 70 79 88 92 94 96 102 102 97 92 90 86 77 65 56 54 56 60 69 70 65
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 44 68 88 92 81 67 55 49 45 40 32 23 15 10 8 9 10 12 18 23 21 15 9 5 4 6 12 16 21 25 30 35 44 54 60 63 66 70 70 70 72 76 84 92 99 106 114 120 124 128 124 115 107 99 93 90 92 94 92 80 74 68 66 68 68 64 65 69 74 77 77 76 81 91 99 100 98 100 104 108 111 113 107 96 78 63 57 52 50 54 58 59
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 52 79 86 79 69 61 57 50 41 30 21 17 14 11 10 10 12 16 17 13 9 6 6 6 7 9 12 15 20 31 42 52 62 70 78 82 83 83 85 89 98 103 109 116 122 128 132 133 131 125 116 109 103 98 96 94 93 81 75 70 68 70 76 80 78 75 71 65 67 68 74 88 101 104 101 100 102 106 114 122 112 99 85 72 62 52 46 46 51 52
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 4 24 60 83 88 83 76 68 60 52 42 32 26 21 17 15 14 15 16 17 17 15 11 10 8 9 10 13 16 21 30 40 51 62 74 85 93 96 96 98 101 106 112 116 120 125 127 129 132 135 136 134 125 117 110 103 98 93 86 80 75 73 76 84 91 91 83 70 60 60 65 74 85 94 96 101 97 86 84 92 106 103 95 87 78 69 60 52 46 45 42
0 0 0 0 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 0 0 0 0 0 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 6 6 3 1 0 0 0 0 9 44 74 89 92 91 84 74 65 56 47 40 32 26 22 22 23 25 27 28 27 21 20 18 18 18 18 18 20 25 33 43 55 69 84 96 100 98 95 97 103 110 115 119 119 121 123 126 130 132 133 127 121 115 110 105 98 90 81 74 76 82 88 91 86 75 63 59 58 62 68 74 74 73 78 74 64 66 76 86 91 90 85 80 77 74 67 56 45 34
0 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 10 10 6 2 0 0 0 0 1 7 34 63 84 96 101 98 90 80 72 67 60 48 37 31 29 32 34 39 45 47 42 36 32 28 26 23 20 17 16 20 27 36 48 60 71 79 83 83 87 93 101 108 116 118 118 117 118 122 123 121 118 113 109 104 98 89 79 69 66 71 77 80 76 66 55 50 49 47 47 50 49 47 47 47 48 53 62 71 79 85 86 82 79 78 77 73 62 46 27
0 0 0 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 1 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 2 8 13 14 8 2 0 0 0 0 0 5 17 35 56 76 95 107 109 104 94 86 84 79 70 59 49 42 43 47 55 64 67 63 56 49 42 36 31 26 23 20 20 22 27 33 39 46 53 60 66 73 83 93 101 109 111 110 108 107 108 107 103 99 95 91 88 82 77 70 61 58 61 68 74 68 48 39 37 35 33 34 37 36 33 31 33 38 48 56 63 70 78 79 76 72 71 70 66 51 35 18
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 2 3 4 5 5 5 6 7 7 8 9 11 10 5 1 0 0 4 14 21 17 3 1 0 0 0 0 2 12 26 40 53 68 87 103 110 108 102 97 95 90 85 80 72 66 67 73 81 87 87 82 73 64 54 46 40 35 32 30 31 33 36 38 39 38 37 42 50 58 70 85 95 101 100 97 94 91 84 79 75 73 72 72 70 68 65 62 61 60 64 79 90 78 43 33 30 29 30 31 29 28 27 29 32 36 44 49 53 58 62 63 62 60 59 53 35 22 13 7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 2 4 6 10 15 20 27 33 40 41 31 13 1 1 9 18 16 4 0 0 0 0 0 0 3 13 23 33 41 51 70 88 100 104 104 104 104 104 104 105 104 103 104 103 101 100 98 95 91 84 74 63 55 48 43 40 40 43 46 48 49 47 41 35 37 43 51 62 73 80 82 79 73 64 55 49 47 48 53 56 59 60 60 61 68 68 66 71 82 80 53 37 29 26 27 26 24 27 33 38 42 44 49 52 54 55 55 52 49 47 42 29 13 4 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 1 2 6 15 27 39 49 59 59 45 21 7 5 13 15 8 0 0 0 0 0 0 0 2 7 12 17 22 32 49 69 89 105 114 116 118 120 126 134 138 138 131 117 102 94 97 102 109 114 112 105 90 74 61 54 50 50 52 54 55 54 50 44 39 36 35 37 40 44 49 54 51 41 32 27 27 28 34 41 50 56 58 62 67 67 62 60 66 78 64 46 34 29 24 22 23 31 41 46 49 52 57 60 60 54 47 38 30 21 16 11 7 3 1 0
0 0 0 0 0 0 0 1 2 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 2 10 21 31 40 41 35 23 10 6 9 12 10 4 0 0 0 0 0 0 0 1 2 3 6 9 18 35 58 83 105 117 121 125 132 143 156 160 155 140 120 103 96 104 118 133 144 149 140 123 108 96 83 71 65 62 62 64 65 62 57 50 41 32 27 23 21 21 26 26 22 17 13 13 15 19 26 37 51 57 55 56 58 59 59 62 63 52 45 45 35 29 26 27 35 46 52 56 60 62 63 58 49 36 25 18 14 12 8 5 3 1 0
0 0 0 0 1 2 3 3 3 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 1 4 10 18 24 24 23 17 11 5 2 2 9 11 8 1 0 0 0 0 1 1 0 0 0 0 1 4 14 32 56 80 99 112 121 129 138 148 160 161 153 138 121 104 98 106 124 146 165 165 154 140 130 126 114 98 85 76 72 72 74 74 73 66 54 40 29 22 16 11 7 6 5 4 3 4 7 11 16 27 42 53 53 55 59 64 64 55 53 55 56 49 40 36 32 33 41 49 57 67 73 68 61 52 39 24 12 8 7 6 6 6 4 1 0
0 0 0 2 3 4 4 3 2 1 1 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 4 18 34 47 48 38 28 20 14 7 4 4 9 8 3 0 0 0 0 2 6 7 4 2 1 1 2 4 14 32 54 75 93 110 123 133 140 146 152 150 140 126 108 93 86 90 110 140 164 157 146 136 129 125 114 100 86 74 64 66 73 79 82 78 66 50 36 24 15 7 1 0 0 0 0 0 4 9 17 30 48 58 60 58 54 57 63 53 51 54 50 43 40 36 35 37 46 48 58 69 72 63 52 41 26 11 2 1 3 6 7 8 6 2 0
0 0 1 2 2 2 1 0 0 0 0 1 1 3 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 8 31 59 81 86 70 51 34 19 7 2 1 0 0 0 0 0 0 1 5 17 29 27 21 16 13 15 17 24 36 52 68 90 113 128 135 136 139 139 133 122 108 94 82 74 76 90 116 134 135 131 127 121 108 92 79 71 66 60 63 74 84 88 84 73 61 50 37 22 11 6 3 2 2 1 1 4 11 20 36 53 63 68 66 55 54 54 50 50 52 52 47 42 39 38 41 46 49 55 58 55 46 36 26 13 3 0 0 1 3 6 8 5 2 0
0 0 1 1 1 0 0 0 0 0 1 2 4 5 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 7 26 57 88 95 70 44 22 7 1 0 0 0 0 0 0 0 0 2 10 33 62 70 66 61 59 58 54 52 52 56 65 91 117 131 132 127 126 122 113 102 93 86 78 72 72 78 91 100 104 109 112 108 94 77 67 66 66 70 79 91 101 105 99 94 94 90 78 58 40 29 22 16 14 10 9 10 14 20 36 51 61 66 69 65 59 52 48 49 56 58 52 46 44 42 44 47 50 50 43 32 23 18 13 6 1 0 0 0 0 2 3 2 0 0
1 1 1 1 0 0 0 0 0 1 3 5 6 8 6 3 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 2 10 28 49 44 23 8 1 0 0 0 0 0 0 0 0 0 0 1 11 52 87 100 101 100 103 104 97 89 82 76 81 105 129 139 131 117 111 104 95 86 79 75 70 66 62 61 63 68 75 83 94 95 90 86 84 81 76 78 88 101 112 115 112 113 120 124 115 93 73 61 53 47 40 37 34 29 25 24 36 49 58 65 73 73 69 63 58 58 63 64 59 53 48 43 39 39 39 36 24 12 6 5 5 2 0 0 0 0 0 0 0 0 1 1
2 1 1 1 1 1 1 2 4 6 8 9 10 10 8 6 4 4 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 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 13 64 94 108 113 120 125 123 121 118 114 108 113 135 154 156 137 114 98 86 77 70 63 57 52 46 41 37 38 43 49 54 64 72 78 84 88 87 80 79 84 92 99 104 107 112 119 120 108 86 69 61 60 62 66 70 74 76 77 64 64 69 75 80 83 81 78 72 65 62 60 58 54 49 43 34 27 22 17 11 7 3 1 1 1 0 0 0 0 0 1 2 3 4 5 4
3 2 2 2 2 3 4 6 8 11 13 14 13 12 10 10 11 12 11 8 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 4 20 63 92 108 116 124 131 132 131 131 131 128 134 154 169 168 144 112 86 68 59 50 40 32 25 19 16 16 20 26 32 34 39 49 57 61 60 60 66 70 72 72 72 75 79 86 94 97 84 68 57 53 52 54 65 74 83 89 94 96 90 86 85 84 82 78 73 66 58 52 48 44 40 33 25 18 12 7 4 1 0 0 0 0 1 0 0 0 1 2 5 7 9 9 7 3
3 2 2 3 4 6 7 9 11 14 16 16 14 13 14 15 17 19 17 12 8 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 2 16 44 70 92 109 121 131 134 134 133 133 134 141 155 168 168 143 107 77 56 43 30 20 13 8 5 3 5 10 15 18 20 28 38 41 39 40 46 53 56 55 51 46 43 44 50 62 71 68 60 54 54 53 54 59 65 66 65 65 64 65 67 66 62 61 58 54 48 41 36 30 26 21 14 9 4 2 0 0 0 0 0 0 1 2 3 3 4 6 9 12 13 12 11 9 6
3 2 2 4 7 9 10 10 11 14 16 17 15 15 16 19 21 22 19 13 8 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 0 0 0 0 0 0 0 1 8 28 55 80 98 120 130 133 131 128 129 136 147 158 164 160 135 100 69 47 30 16 9 5 2 1 0 2 4 7 9 12 25 33 31 22 22 30 37 42 43 40 33 28 26 32 47 54 56 54 53 53 52 53 55 55 50 42 36 34 34 34 34 31 30 28 26 22 18 14 10 7 5 3 1 0 0 0 0 0 0 0 0 2 5 7 9 9 9 11 13 13 9 8 7 6
3 3 5 7 9 11 10 9 10 13 16 18 16 17 19 21 22 20 16 11 6 4 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 1 6 25 47 68 87 112 126 131 130 128 132 143 154 157 152 142 123 92 61 38 20 11 6 3 1 0 0 0 1 2 4 13 23 26 22 17 16 20 26 34 40 40 32 25 24 32 43 50 53 54 54 52 51 51 50 46 41 33 26 20 15 12 10 8 7 6 3 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 8 8 8 10 11 10 7 6 7 8
3 4 6 8 9 10 10 9 10 12 14 16 16 17 20 22 20 15 10 7 5 4 4 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 7 22 38 54 73 98 117 128 132 131 139 151 155 149 132 119 100 75 49 29 16 10 6 4 2 1 0 0 0 1 4 13 19 19 15 12 13 16 23 34 45 45 40 34 33 41 47 52 56 59 57 55 52 49 46 41 34 30 25 17 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 6 6 7 6 7 9 11 8 7 6 7 8
2 4 5 7 8 9 9 9 10 11 12 14 16 18 20 20 16 11 8 6 6 5 5 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 1 6 17 30 44 63 88 107 120 127 126 136 146 146 131 109 86 64 46 34 24 17 12 8 5 4 1 0 0 1 3 8 13 14 10 6 5 8 12 19 33 47 52 51 45 40 44 50 57 63 67 65 60 54 48 43 40 39 37 33 21 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 7 7 6 6 7 11 12 9 7 7 7 9
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