Vorticity
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nan 3 2 1 -1 -1 3 12 26 35 32 21 11 7 8 8 8 8 8 8 8 10 10 8 8 8 9 12 13 12 12 9 9 10 9 9 8 11 11 9 8 9 7 7 9 9 10 9 8 9 10 8 8 9 9 6 5 5 11 16 12 7 6 8 9 9 8 7 14 15 9 7 9 10 12 13 14 15 17 18 15 13 8 4 4 6 5 3 6 8 9 9 10 14 17 18 17 15 15 18 22 26 28 26 23 20 14 7 0 -0 4 8 10 10 11 13 14 15 16 18 20 16 11 9 8 11 14 7 8 18 15 3 -7 -10 -3 5 8 8 8 10 14 15 13 11 10 10 10 13 19 27 30 22 13 9 8 9 11 9 8 7 7 8 8 8 9 11 13 16 nan
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nan 8 7 5 3 3 4 5 9 12 12 9 7 9 12 12 11 10 9 8 8 10 11 11 8 6 7 10 13 13 12 10 8 6 7 9 12 9 11 11 11 10 11 11 8 6 7 7 11 13 9 7 8 10 8 7 9 10 11 9 9 10 10 5 6 13 15 14 15 15 14 18 21 20 16 13 11 14 18 17 14 12 9 5 2 -0 -1 2 7 9 7 7 8 10 10 10 11 12 11 10 9 9 10 11 13 18 29 34 30 22 13 11 12 11 11 11 11 12 17 24 30 27 13 7 9 8 9 8 8 21 27 21 11 5 3 1 4 9 7 4 5 14 26 36 42 44 43 39 31 19 9 4 3 3 3 4 4 6 5 6 6 6 7 7 7 7 6 6 nan
nan 17 15 12 8 6 4 5 7 8 7 4 4 8 12 13 13 12 10 8 8 10 10 9 8 4 5 10 13 13 10 8 7 5 8 11 11 9 8 11 11 10 11 9 8 8 8 10 14 13 8 7 10 13 10 7 8 10 11 10 9 13 13 7 9 15 15 12 12 13 15 19 19 18 16 14 13 14 14 13 9 6 6 9 11 10 8 8 10 11 9 8 8 7 4 -0 -0 2 4 4 0 -1 0 0 -1 2 13 30 35 31 23 15 14 16 16 16 16 17 20 24 31 30 17 3 2 4 8 9 9 16 23 19 12 8 4 -2 0 7 10 11 11 22 36 46 51 53 50 38 24 12 6 4 3 3 3 3 3 4 3 4 5 5 6 7 7 6 6 5 nan
nan 17 15 14 12 10 6 4 6 8 7 5 3 6 10 11 12 13 12 8 7 9 10 8 6 2 5 9 12 11 11 10 8 4 7 12 11 7 6 11 10 11 10 9 13 13 8 9 15 14 8 7 12 14 9 5 6 8 9 8 8 12 10 6 9 10 9 8 10 13 15 13 10 10 14 17 18 16 13 10 6 3 5 13 18 16 13 11 10 10 9 9 8 5 2 -1 -3 -4 -6 -6 -8 -10 -9 -9 -11 -11 -9 4 16 20 18 13 12 18 23 25 26 27 29 34 43 46 41 23 7 5 9 8 5 8 13 12 12 13 13 7 2 6 12 16 18 23 28 28 26 25 24 20 16 13 11 9 7 6 5 4 4 4 4 4 4 5 5 6 6 6 5 5 nan
nan 11 8 11 14 14 8 3 2 6 7 6 5 7 8 8 10 13 12 6 6 10 13 10 3 2 6 10 10 10 12 14 8 5 5 13 12 6 5 10 12 12 8 8 13 13 6 10 16 12 6 6 15 17 9 6 6 8 9 7 7 7 7 11 13 9 5 8 13 15 13 8 4 7 13 18 19 19 18 14 6 5 11 20 26 21 15 11 8 7 8 9 7 5 4 4 4 2 -2 -5 -6 -8 -8 -9 -10 -10 -9 -3 3 6 7 6 9 16 21 25 29 31 34 38 48 60 64 52 27 11 8 4 -1 -0 7 9 12 16 20 16 7 8 13 15 13 13 14 12 7 3 2 4 7 10 11 10 9 8 7 6 5 5 5 6 6 6 6 6 5 5 5 5 nan
nan 9 6 9 12 15 14 8 3 3 7 7 6 6 7 9 10 11 9 7 9 14 15 10 2 5 7 8 8 10 13 15 11 6 4 9 12 7 5 8 13 12 10 9 10 8 6 11 13 9 7 10 20 17 7 8 7 7 8 9 8 7 11 18 15 7 5 10 17 17 13 8 7 12 17 20 20 22 24 22 14 11 17 24 27 22 14 11 8 7 8 10 8 8 8 10 11 9 6 3 1 -0 -2 -3 -3 -2 2 5 6 3 4 7 12 15 15 16 19 20 23 27 34 48 58 58 44 28 16 10 5 -1 4 9 9 12 15 14 9 8 11 9 4 0 2 4 4 2 -1 -2 -0 3 6 8 8 7 6 5 5 5 6 7 7 7 7 6 5 4 4 4 nan
nan 7 5 9 10 11 21 25 13 7 8 7 5 5 6 9 12 11 9 10 12 16 15 8 3 7 8 7 9 10 13 14 14 10 5 7 8 8 7 9 13 12 15 11 7 6 7 7 7 7 9 12 16 13 12 14 10 6 7 11 10 9 15 16 8 3 7 13 17 17 14 14 18 22 23 22 23 25 27 27 24 20 19 21 22 21 15 10 8 7 8 9 11 12 12 12 11 10 8 8 6 5 4 3 4 5 7 10 12 11 12 14 15 13 10 9 10 11 14 20 24 29 37 43 45 40 32 25 20 14 11 8 8 12 13 12 10 11 11 6 -2 -7 -6 -5 -3 -1 0 1 1 2 3 6 9 8 6 5 5 6 8 9 9 10 9 8 6 4 3 3 nan
nan 5 5 8 9 10 20 22 13 9 11 11 8 4 4 8 12 10 7 9 13 16 14 6 4 7 7 6 9 10 11 13 15 13 10 8 4 7 9 11 10 9 15 14 7 6 4 4 6 8 10 11 13 14 18 19 11 6 9 13 13 12 12 9 5 8 14 14 14 16 18 20 21 22 21 21 25 26 27 26 26 25 22 21 22 21 16 10 7 6 8 9 11 14 14 12 10 10 11 11 10 9 7 7 8 8 8 9 15 16 15 14 11 8 7 7 7 10 15 22 26 27 30 32 36 40 39 34 29 26 23 15 7 8 10 12 12 14 13 8 2 -4 -7 -8 -7 -6 -3 1 3 3 4 7 12 13 9 6 6 7 9 10 11 12 12 11 8 6 4 3 nan
nan 3 4 6 7 9 13 12 8 7 12 14 13 9 6 8 10 10 6 6 11 15 14 5 2 6 7 6 8 9 10 12 14 14 12 7 5 9 10 10 7 6 11 15 8 3 2 4 7 9 10 12 13 16 22 19 9 8 15 17 16 12 6 6 10 16 16 13 13 17 18 17 16 15 16 20 26 25 21 20 23 27 27 25 25 23 18 12 7 6 10 12 14 16 14 12 11 12 13 13 12 10 9 9 10 10 9 9 14 14 8 5 5 6 6 6 8 10 15 20 25 27 30 32 35 37 40 39 33 29 29 31 23 12 7 8 11 14 12 11 9 5 0 -3 -6 -6 -5 -2 2 4 5 7 12 15 13 9 7 7 9 10 12 13 13 12 10 8 6 5 nan
nan 5 4 3 2 6 13 13 7 5 10 11 11 10 8 7 8 8 7 5 7 12 13 9 3 4 6 6 6 8 10 11 13 14 14 8 9 11 10 5 4 6 11 13 9 4 3 4 7 10 10 11 13 16 19 18 14 14 16 15 12 8 4 7 12 14 13 14 17 18 18 16 15 16 18 21 24 21 15 14 19 27 31 29 27 26 22 17 10 7 10 14 16 15 14 14 14 15 15 14 13 11 10 9 10 11 10 11 16 14 3 -0 3 6 6 6 8 10 12 15 17 19 23 27 29 30 32 36 37 37 38 44 43 29 14 9 10 12 7 6 10 14 13 10 4 -1 -3 -3 -1 2 4 6 9 13 15 12 8 7 7 9 12 14 14 12 10 8 8 7 nan
nan 8 8 5 2 3 9 10 5 3 6 8 9 8 7 6 6 7 7 5 3 8 14 12 5 3 7 6 6 7 9 10 12 14 15 10 9 11 9 4 4 4 10 12 9 5 4 6 8 10 11 11 12 15 17 18 15 11 9 7 5 3 6 13 14 11 13 18 21 20 20 22 23 23 23 22 20 16 12 14 20 26 30 31 27 25 23 20 14 9 9 11 11 11 12 16 16 17 17 17 15 12 11 10 11 12 12 14 21 20 6 0 2 5 5 6 9 12 12 12 10 9 13 17 17 16 18 27 38 44 47 50 49 36 20 11 7 6 -5 -11 -1 13 21 23 18 11 5 0 -1 1 5 8 10 13 15 13 9 7 7 8 10 12 12 11 10 9 8 8 nan
nan 7 12 10 7 5 6 6 4 2 2 6 9 10 9 6 7 9 8 5 1 6 14 11 5 4 8 6 5 7 8 11 13 14 15 12 8 8 8 7 7 2 7 11 6 5 5 8 10 11 11 10 12 13 15 13 10 8 6 5 4 5 10 17 16 12 14 20 21 19 22 29 34 31 24 18 15 14 14 17 22 26 27 25 21 20 21 19 14 9 7 9 9 9 11 14 15 15 15 16 16 14 13 13 13 14 14 19 27 23 7 -3 -0 4 5 7 9 12 13 11 9 6 8 10 9 9 11 18 31 39 43 49 50 38 20 11 7 4 -9 -21 -13 4 20 28 28 22 16 10 8 7 9 12 13 13 13 12 11 9 9 9 9 9 10 10 9 9 9 8 nan
nan 7 10 12 13 12 9 5 3 2 2 4 7 9 10 8 6 9 9 5 2 5 11 9 5 5 6 6 7 9 8 9 11 14 14 11 8 8 8 10 11 5 5 8 4 6 8 8 11 13 10 9 10 11 11 10 9 9 7 6 6 9 15 18 18 17 18 20 19 19 25 34 38 34 21 11 9 11 16 17 19 21 20 17 13 15 17 15 12 10 10 9 10 11 12 12 13 12 12 14 15 14 14 14 15 15 17 21 23 14 -1 -9 -4 2 4 6 8 11 13 11 9 6 7 9 8 8 11 14 20 26 32 46 55 49 31 20 15 10 -2 -18 -16 -1 15 27 33 31 26 23 21 18 16 15 15 13 12 11 11 10 10 9 9 8 8 8 8 9 8 8 nan
nan 8 9 13 18 17 12 7 5 4 5 4 4 7 9 8 7 10 11 7 4 5 8 6 4 6 6 5 6 10 8 8 11 15 14 10 7 7 7 11 13 9 7 6 5 8 9 11 14 13 9 8 9 10 10 8 8 7 6 7 9 12 17 22 23 22 20 17 18 22 29 33 30 27 20 10 7 12 19 20 17 17 16 15 13 12 13 13 14 13 11 9 12 14 14 11 10 10 11 14 16 16 15 14 14 15 18 18 7 -10 -20 -18 -7 1 3 5 7 11 14 14 11 8 8 10 8 7 11 14 14 18 29 46 58 56 41 26 15 9 1 -9 -9 1 13 26 36 35 31 29 27 23 18 15 13 13 12 12 11 10 10 10 10 9 8 7 7 8 8 8 nan
nan 8 9 14 18 17 13 9 5 6 9 7 5 4 8 9 9 11 12 9 4 4 6 7 5 9 10 5 3 8 9 8 12 18 16 9 6 5 6 10 12 11 10 7 7 9 10 11 14 12 9 9 9 9 8 6 5 6 8 10 12 15 20 24 25 23 18 16 19 24 29 25 18 16 17 14 10 14 21 23 20 20 19 18 18 15 16 18 18 14 11 10 13 16 17 15 11 10 10 13 14 15 14 14 14 16 17 14 -8 -31 -38 -28 -12 -0 3 4 7 10 12 14 13 12 9 9 6 4 10 14 13 16 27 36 39 37 29 14 3 1 1 2 2 6 14 26 35 34 31 28 25 20 15 12 11 11 12 12 12 11 10 10 10 9 9 8 8 8 8 8 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
36 27 18 13 12 15 20 24 23 19 22 45 72 70 53 36 28 31 45 62 78 95 98 82 60 51 58 72 79 73 66 60 57 58 62 63 60 56 54 56 62 70 78 85 84 75 62 49 38 27 15 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
32 24 15 9 7 9 17 24 25 24 30 52 78 69 46 33 29 32 43 58 74 87 88 72 55 54 64 76 81 76 64 55 53 56 57 55 51 49 50 53 58 64 72 86 86 69 53 45 38 27 15 10 8 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 0
26 17 9 4 2 6 16 26 31 32 40 57 74 67 44 33 32 33 41 51 62 70 67 53 40 46 63 74 78 76 67 57 54 55 55 52 49 47 49 52 54 54 60 76 86 70 52 46 39 28 20 19 19 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
20 12 6 4 6 11 20 32 39 44 50 61 69 64 46 36 33 35 42 48 52 51 45 36 33 40 57 65 64 66 67 64 59 58 57 55 51 50 51 54 54 51 54 68 80 73 57 50 40 29 28 32 30 17 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
19 13 13 14 17 21 28 39 48 54 60 65 67 59 45 35 33 36 45 54 56 50 42 36 39 47 56 57 50 52 64 70 67 63 62 60 58 57 58 61 59 55 57 68 78 76 65 55 40 30 37 44 37 18 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
23 25 25 27 27 28 33 43 52 59 64 73 71 57 42 34 32 36 46 61 71 71 64 59 59 63 65 60 49 48 64 78 79 73 68 65 64 66 70 71 67 61 62 71 78 78 70 57 42 38 54 60 42 17 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
22 23 22 24 24 26 33 43 51 55 61 72 74 58 44 36 36 41 50 65 81 93 98 97 92 86 80 72 64 65 81 96 95 85 74 67 69 75 79 78 72 66 64 70 76 76 69 56 45 51 73 76 43 13 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
17 18 16 16 17 18 29 42 46 46 50 60 69 64 52 44 46 51 58 68 81 96 108 114 110 101 94 86 81 81 91 102 103 92 81 78 79 82 83 81 75 70 68 71 75 75 67 56 53 63 73 60 29 6 1 0 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
12 13 13 13 14 16 22 37 42 38 36 46 59 63 60 56 58 62 66 68 74 86 99 107 109 105 103 98 94 94 96 101 102 99 94 92 87 81 81 80 78 75 74 76 80 79 71 65 68 68 55 32 12 2 0 0 2 9 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
9 12 11 10 11 14 19 29 35 32 28 36 45 54 58 61 66 69 66 62 64 74 88 100 106 107 105 103 96 92 92 88 87 90 90 86 78 74 78 81 82 82 83 84 88 88 83 77 72 56 32 13 3 0 0 0 2 14 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
4 4 5 6 8 12 16 21 26 27 25 29 38 47 51 55 60 64 58 50 50 58 70 84 95 98 92 82 71 66 67 57 56 61 65 66 67 70 77 81 82 83 86 86 87 85 77 67 52 29 12 3 1 0 0 1 4 10 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 0 0
2 3 4 3 5 9 12 15 19 22 22 24 33 40 41 40 43 44 40 34 34 41 50 61 71 73 66 53 38 25 17 14 23 32 38 45 56 65 73 78 77 71 68 66 62 51 38 30 23 11 3 1 0 0 2 6 7 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 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 3 4 9 13 18 20 20 18 18 22 28 29 24 22 20 18 17 19 25 31 36 41 44 43 34 19 6 1 2 6 14 21 30 44 56 65 71 70 57 46 39 29 17 11 14 17 14 5 0 1 4 6 11 10 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 0 0 0 0 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 7 15 28 36 31 24 17 13 13 15 16 12 9 10 11 11 11 12 14 15 17 20 22 24 25 24 19 13 10 11 16 24 35 42 51 62 64 50 31 21 14 11 14 22 28 22 7 1 5 11 9 7 5 2 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 1 4 10 22 40 50 44 31 19 12 8 8 8 6 5 8 13 14 13 10 9 10 11 12 12 14 21 30 35 32 25 19 18 22 25 25 30 46 59 53 35 23 22 26 28 28 26 17 6 2 7 11 4 2 1 2 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
0 0 0 4 10 21 35 46 45 36 23 14 10 8 6 5 7 10 14 17 16 13 10 8 9 10 12 13 15 21 32 39 38 32 26 23 20 16 15 30 50 60 54 43 39 40 37 27 19 11 4 2 4 5 2 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 15 22 30 34 32 26 20 16 13 9 5 6 10 14 15 15 13 10 8 8 10 14 18 23 26 31 37 41 40 34 27 21 17 15 23 40 59 67 61 51 43 36 25 15 6 2 2 2 4 6 6 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 0 0 0 0
0 0 0 1 4 8 12 17 22 24 24 22 20 16 10 4 6 9 11 12 12 12 12 10 9 12 17 24 31 36 36 34 36 40 39 32 26 23 25 29 37 54 68 66 51 36 24 16 8 3 6 9 7 10 11 6 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 1 3 5 10 14 16 17 17 16 13 8 3 7 11 12 12 14 18 21 21 20 18 19 23 30 34 33 29 28 34 37 31 24 25 32 39 45 53 62 59 45 29 17 9 6 11 19 25 18 15 11 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 0 0 2 4 8 10 10 10 8 6 3 4 10 14 15 17 21 26 30 29 25 21 16 16 18 20 20 18 17 20 21 17 14 21 33 44 52 54 55 52 43 32 24 17 15 19 26 30 34 19 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 1 4 7 8 6 4 2 1 4 11 16 19 24 29 34 36 34 29 22 14 7 5 3 3 5 6 6 3 3 5 19 32 44 51 53 52 49 45 40 34 29 26 27 32 36 37 18 11 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
4 1 0 0 0 0 0 0 3 8 10 7 3 0 0 5 10 16 23 28 32 36 38 38 34 26 16 7 2 0 0 0 1 0 0 0 5 23 35 41 43 43 42 40 37 35 34 34 37 42 51 50 36 17 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 0 0 0 0 0 4 9 12 10 5 2 1 4 9 15 20 22 24 24 24 26 28 26 19 11 5 1 0 0 0 0 0 3 12 26 34 35 30 26 23 22 22 23 25 32 41 45 47 48 36 16 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
11 8 4 2 0 0 1 2 4 10 14 13 8 4 2 3 5 7 8 10 11 12 18 28 36 35 26 17 11 6 4 3 2 2 4 8 15 24 28 27 21 16 14 13 13 14 17 26 36 36 31 29 22 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
13 14 11 6 2 1 2 3 5 9 14 12 8 3 1 1 2 2 4 6 11 17 27 42 53 50 38 28 19 13 7 4 3 5 8 12 16 17 19 19 17 14 12 12 13 12 16 24 33 35 25 12 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 0 0
11 14 16 13 8 3 1 2 3 5 7 6 3 1 0 0 0 1 4 9 20 25 27 30 37 42 39 33 26 18 10 6 4 6 8 12 15 16 16 16 15 16 17 19 19 19 22 31 39 38 25 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
7 10 15 17 16 12 6 2 1 1 1 0 0 0 0 0 0 1 4 11 23 24 16 14 20 27 31 30 27 23 17 10 6 5 7 11 18 23 20 16 16 19 23 26 27 28 32 41 46 39 22 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
6 6 9 15 20 22 18 10 4 1 0 0 0 0 0 0 0 0 3 9 18 19 9 6 10 16 20 21 21 20 17 12 8 6 8 15 24 29 26 21 19 20 23 24 27 33 39 46 47 31 14 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 0 0 0 0
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