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