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