Vorticity
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nan 9 6 6 6 7 7 7 7 7 8 9 8 8 9 10 9 7 7 8 8 8 8 7 4 1 2 4 6 7 6 5 6 7 7 6 5 6 7 7 6 6 6 6 6 4 3 3 4 5 5 6 6 4 5 7 9 9 9 9 10 10 10 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 6 7 7 7 8 9 9 10 10 9 8 7 7 8 7 6 6 8 7 4 2 4 8 12 13 12 11 10 7 3 -0 1 5 6 2 -0 1 2 4 7 10 9 7 5 6 10 13 14 14 11 8 6 4 5 7 7 7 6 4 4 7 8 8 6 6 7 8 8 7 7 8 7 6 6 7 8 8 9 10 9 nan
nan 6 5 4 6 9 10 8 6 7 9 10 10 9 8 9 7 6 6 7 7 8 9 7 3 2 4 6 6 6 7 8 9 9 7 5 4 5 7 8 7 6 4 4 5 5 4 3 3 4 5 5 6 6 7 8 9 9 9 10 10 10 9 9 9 9 9 9 9 8 7 8 8 8 8 8 8 8 7 8 7 7 7 7 7 7 7 7 6 7 9 10 10 10 11 9 7 6 8 9 9 8 7 5 2 1 3 7 11 13 12 12 11 10 7 4 3 4 4 2 2 0 0 5 7 8 7 6 6 8 12 14 13 10 8 8 7 6 6 7 7 7 6 4 4 7 8 8 7 7 7 8 7 8 9 8 7 6 7 8 8 9 10 10 9 nan
nan 4 7 7 8 10 11 7 5 7 10 11 11 9 8 8 7 6 6 6 8 9 9 7 3 4 6 6 5 5 8 10 10 10 8 6 7 8 8 10 9 7 5 4 5 5 6 6 6 6 6 7 7 8 8 8 8 9 10 10 9 8 8 9 9 8 8 9 8 7 7 8 8 8 7 8 7 8 7 7 8 7 7 7 7 7 7 7 7 8 8 8 9 11 11 10 7 6 8 11 11 8 4 1 -0 2 4 7 8 9 10 11 11 11 10 9 8 7 5 3 2 3 4 4 4 4 5 7 7 7 9 11 8 5 6 7 7 7 8 8 8 8 8 6 6 7 8 8 8 8 8 7 8 9 9 7 6 7 8 8 9 11 11 11 10 nan
nan 3 9 11 9 8 10 9 6 6 8 9 10 8 7 7 8 7 6 7 8 10 8 6 3 3 5 6 5 5 8 10 9 9 10 9 9 9 9 10 11 9 7 6 6 6 7 8 7 7 8 8 9 8 8 9 9 9 9 9 8 8 8 8 8 8 7 8 9 8 7 7 8 8 8 7 7 7 7 7 8 8 7 7 6 6 7 7 8 7 7 8 8 9 10 10 8 7 8 9 10 8 2 -2 -1 4 6 7 7 5 6 9 10 10 10 12 12 12 10 8 8 8 8 6 4 1 3 6 5 4 5 5 4 6 7 7 7 8 8 8 8 9 9 9 9 9 9 9 11 10 8 7 7 8 7 5 5 5 6 8 10 11 11 11 10 nan
nan 5 9 10 9 8 9 10 8 5 6 8 9 7 6 7 7 8 7 8 9 9 8 5 1 2 6 8 6 6 8 9 8 9 9 9 10 9 8 10 11 10 8 7 7 8 9 9 8 8 8 8 8 9 8 9 9 9 8 7 9 9 8 7 7 8 8 8 8 8 8 7 7 8 8 8 7 6 7 7 7 8 8 7 7 6 6 7 7 7 7 6 7 8 9 9 9 8 7 7 8 7 4 0 0 4 6 7 7 6 5 5 8 10 9 10 12 13 13 13 13 12 12 11 8 5 4 5 6 5 4 3 2 4 7 9 9 7 7 7 8 10 11 12 11 9 8 10 12 10 8 8 7 6 5 5 4 5 6 8 10 10 11 11 10 nan
nan 9 9 8 8 8 8 8 7 6 7 8 8 7 7 7 7 8 8 7 8 9 8 4 2 3 8 10 9 8 9 9 7 6 8 9 9 8 9 8 8 9 9 9 8 9 10 9 9 9 9 8 8 9 9 9 9 8 8 8 9 10 9 8 7 7 8 8 8 8 8 7 7 8 9 8 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 7 8 8 8 6 6 6 7 7 4 4 6 6 7 7 7 6 5 7 9 8 8 9 10 11 13 14 14 14 13 11 11 9 8 7 6 5 3 2 2 6 8 8 8 8 8 9 11 11 12 12 10 9 10 10 9 8 8 7 6 6 6 6 7 8 8 9 9 10 10 10 nan
nan 12 9 6 6 6 6 6 7 8 9 8 7 7 9 9 8 7 7 7 8 8 7 5 4 6 9 11 10 9 9 8 7 7 8 9 8 7 8 8 9 9 9 8 7 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 11 10 9 8 7 7 7 8 8 8 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 7 7 7 6 6 6 5 5 5 6 7 7 6 6 7 8 8 8 7 6 5 6 7 7 6 5 6 7 7 8 9 10 10 11 12 13 14 13 13 13 13 11 9 4 2 5 6 5 5 6 7 9 10 10 10 11 11 11 11 9 10 10 9 8 7 7 6 7 7 7 8 9 9 9 8 9 9 9 9 nan
nan 13 11 6 5 6 8 8 9 10 9 7 7 8 9 9 8 6 6 6 7 8 7 5 6 7 8 9 9 8 8 8 8 9 11 10 8 7 8 9 9 10 9 8 7 7 8 8 9 9 9 9 8 8 8 8 9 9 9 10 10 10 10 9 8 7 7 7 7 8 8 8 7 7 8 8 7 7 6 6 6 7 7 7 6 6 7 7 7 6 6 6 6 5 5 6 7 7 7 8 7 7 8 9 9 5 4 5 6 6 6 6 7 7 6 7 8 10 10 11 12 12 12 13 14 13 12 12 10 8 4 3 6 7 6 6 7 8 8 9 9 9 9 10 10 9 10 9 8 7 7 7 7 7 8 9 9 9 9 9 9 9 8 8 8 nan
nan 12 12 10 8 11 13 12 10 10 10 7 6 6 8 8 7 6 6 6 7 8 7 5 7 7 7 9 9 8 8 9 8 9 10 10 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 8 7 7 7 7 7 7 6 6 7 8 8 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 7 8 9 10 9 7 5 4 5 6 6 7 7 8 7 8 9 8 7 9 10 11 10 11 12 11 10 10 11 11 11 8 5 2 2 4 6 7 7 8 8 7 9 10 10 10 9 7 7 7 7 8 8 9 9 10 10 9 10 10 9 8 7 8 8 nan
nan 11 12 12 10 12 14 11 9 11 10 7 5 6 8 6 5 6 7 8 8 9 7 5 6 7 7 8 8 7 8 8 7 8 8 8 7 8 9 8 8 7 6 7 7 7 7 8 9 9 8 9 8 7 8 9 9 8 8 7 7 7 6 6 7 7 7 7 8 8 9 9 9 7 6 8 8 7 7 6 6 7 7 7 7 7 7 7 7 8 9 8 8 8 9 9 9 9 9 8 6 6 7 9 7 7 6 5 5 6 6 8 9 8 9 10 8 6 7 7 8 8 8 8 8 8 8 9 9 9 10 10 8 5 4 5 6 6 8 8 7 6 7 10 10 9 8 7 7 7 8 8 9 9 10 10 10 9 10 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
CAPE
0 0 0 0 1 3 8 14 11 10 11 11 12 11 7 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 5 6 4 3 3 4 5 5 4 4 4 4 4 4 4 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 4 3 2 1 0 0 2 7 13 15 12 11 11 12 12 12 11 11 11 11 11 12 11 10 12 15 16 11 7 8 8 8 9 9 9 10 10 11 11 12 14 16 13 9 5 3 1 0 0 2 7 11 14 11 6 3 3 3 3 3 3 2 2 2 10 17 23 32 35 30 23 16 9 4 4 4 3 8 14 21 27 29 15 9 6 5 8 14 15 5 0 0 0 0 0 0 0 0
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0 0 0 0 3 8 11 10 7 4 4 4 4 5 4 2 1 2 2 1 1 1 0 0 0 0 2 3 0 0 0 0 3 4 4 5 5 5 5 5 5 5 5 6 7 8 9 9 8 6 5 4 3 3 4 5 6 7 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 6 6 6 8 12 18 23 25 24 23 18 11 9 9 10 10 10 10 10 11 12 13 14 14 12 10 8 7 9 13 14 15 21 30 36 40 42 42 34 19 15 23 30 30 26 22 21 22 20 16 11 12 16 14 7 6 6 7 7 8 10 11 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 13 34 61 70 59 46 36 29 23 18 16 13
0 1 1 0 4 9 12 10 6 4 4 4 5 5 4 3 3 2 2 1 0 0 0 0 0 1 4 5 4 2 2 3 5 6 5 4 4 4 4 4 4 5 5 6 7 7 7 7 6 5 4 3 3 3 4 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 9 10 8 8 8 12 18 23 26 28 25 21 15 11 10 10 10 10 10 10 11 11 11 12 12 12 10 9 8 8 12 16 18 20 25 32 36 37 36 36 32 19 14 20 24 25 22 19 18 18 16 14 17 24 27 19 6 3 3 5 6 8 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 18 54 78 69 50 43 40 32 24 19 14
0 2 1 0 4 10 13 10 7 5 5 6 6 5 4 4 3 2 1 0 0 0 0 0 0 3 6 7 7 7 6 6 7 7 6 5 4 4 4 4 4 5 5 6 6 6 6 6 5 4 2 2 2 4 5 6 6 6 6 6 6 6 6 6 6 7 6 6 7 9 13 19 20 19 19 22 23 24 25 26 26 23 18 14 11 10 10 10 10 10 9 10 10 11 11 11 11 11 10 9 8 9 11 15 19 26 35 43 44 43 42 39 21 15 16 17 18 17 15 14 12 10 12 21 31 34 23 6 1 1 2 4 5 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 39 77 74 52 46 50 45 33 25 20
2 2 1 0 4 10 12 10 7 5 6 7 6 5 4 4 3 2 1 0 0 0 0 0 2 6 8 9 10 9 8 7 6 7 8 6 5 4 4 4 5 6 6 6 6 6 6 5 4 3 2 2 2 4 6 6 5 5 6 6 5 4 4 4 6 7 7 8 12 18 25 30 32 30 28 29 29 31 30 29 26 24 21 18 16 15 14 12 11 10 9 9 8 9 10 10 10 10 10 10 9 8 9 9 12 16 25 36 40 42 44 44 30 19 15 14 14 15 14 12 10 7 11 25 35 34 22 5 2 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 3 29 70 81 60 48 54 56 47 36 28
3 3 1 0 4 10 11 9 7 6 6 7 6 4 3 2 2 1 0 0 0 0 0 1 5 8 9 10 10 10 9 8 6 4 6 8 6 4 5 5 6 7 7 7 7 6 5 4 3 3 4 4 4 4 5 5 5 6 6 5 4 3 3 5 7 9 10 13 20 28 34 38 38 36 33 32 33 34 36 34 31 28 26 28 30 32 30 26 22 17 14 13 11 10 9 11 12 13 14 15 14 13 13 12 11 13 18 26 28 30 36 37 27 19 15 14 14 14 14 12 9 8 13 20 25 24 13 6 6 5 3 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 1 0 3 20 60 88 73 51 54 64 61 51 39
4 3 1 1 4 9 10 8 6 6 7 8 6 4 3 2 2 0 0 0 0 0 0 4 8 10 10 11 10 9 9 8 7 5 5 7 7 4 4 5 5 6 7 6 5 4 4 3 3 3 5 6 5 5 5 5 6 7 6 6 6 6 7 9 12 15 19 23 29 34 37 40 40 38 36 36 35 36 37 37 35 32 33 40 49 54 54 50 46 42 36 29 26 24 21 23 28 32 34 33 32 30 29 28 26 28 29 29 25 25 30 28 20 15 14 14 16 18 17 14 10 9 10 12 11 8 3 5 12 12 8 3 1 2 3 1 1 2 2 0 0 0 0 0 0 0 0 0 0 0 2 7 11 7 1 1 11 47 85 82 58 50 58 65 64 55
4 2 0 2 6 8 8 7 6 6 7 8 7 4 3 2 2 0 0 0 0 0 2 7 11 12 11 10 10 10 9 9 8 8 7 8 8 5 3 3 4 5 7 6 6 5 4 4 3 2 6 8 7 5 5 6 7 8 8 9 10 11 13 16 20 25 28 31 34 38 40 40 39 38 38 38 38 36 36 37 36 35 37 46 56 61 62 61 59 59 55 51 48 50 52 52 53 54 55 55 54 51 50 50 49 50 50 44 39 36 36 27 18 15 15 18 22 25 25 21 15 11 8 5 0 0 1 7 17 18 13 7 4 6 6 4 4 6 5 1 0 0 0 0 0 0 0 0 0 0 2 6 12 13 8 6 11 39 71 80 67 54 54 62 67 66
3 1 0 3 7 8 8 6 5 6 6 8 7 4 3 3 2 0 0 0 0 0 5 10 12 12 10 10 10 9 8 7 6 7 8 9 10 7 4 3 4 6 6 5 5 6 6 5 5 5 6 8 6 5 6 7 8 10 11 13 14 16 20 24 28 30 32 34 37 39 41 40 39 38 39 39 38 38 37 37 35 35 40 49 58 61 59 56 56 56 57 57 59 63 66 66 64 63 62 62 60 58 56 57 57 60 61 63 59 55 50 39 27 21 22 25 29 33 35 32 26 19 14 9 2 2 6 16 25 24 19 15 13 12 14 13 10 10 7 3 0 0 0 0 0 0 0 0 0 0 0 3 8 16 21 23 29 44 67 83 79 65 60 63 66 67
3 2 2 6 8 8 7 5 5 5 6 6 5 4 4 3 3 1 0 0 0 0 7 11 11 10 9 8 8 6 4 2 1 1 5 8 10 9 8 8 9 6 3 2 4 7 6 6 6 8 10 9 6 5 6 8 11 14 16 18 20 23 28 31 33 33 34 35 38 41 43 42 40 39 38 38 37 37 37 37 35 35 40 49 56 55 50 46 46 48 51 52 56 59 62 60 58 55 54 52 49 46 45 46 47 50 53 55 58 61 60 53 44 36 33 36 39 42 44 42 38 32 27 20 12 13 20 29 34 32 28 27 27 27 27 27 23 14 7 2 1 0 0 0 0 0 0 0 0 0 0 0 3 16 31 40 47 55 73 93 92 76 66 64 62 60
4 2 4 7 8 8 6 4 4 5 6 6 6 5 5 5 4 2 0 0 0 4 10 11 10 6 2 2 1 1 0 0 0 0 0 4 5 6 8 10 9 4 1 2 6 7 4 4 6 9 11 10 7 6 8 11 15 20 23 25 27 30 33 36 37 38 38 39 40 44 44 42 39 38 37 36 34 32 31 33 34 35 39 44 46 40 34 32 34 37 40 41 41 41 40 39 36 32 30 28 26 24 23 23 26 29 33 38 45 51 56 58 57 51 46 45 46 48 50 48 44 39 32 25 23 28 34 38 39 39 38 40 42 42 41 38 30 18 8 2 1 1 0 0 0 0 0 0 0 0 0 0 1 17 36 46 53 59 71 85 85 69 55 49 46 47
4 3 6 8 8 7 4 2 3 6 9 10 8 7 6 6 5 2 0 0 2 7 11 10 6 3 2 3 3 2 1 1 0 0 0 0 0 1 2 3 3 1 1 4 7 6 3 4 5 7 8 7 6 9 16 22 26 28 30 32 33 34 36 38 39 41 42 44 43 46 44 40 37 35 33 28 22 19 19 22 27 30 32 32 29 24 20 21 24 27 30 29 26 22 18 13 9 8 8 5 4 5 5 5 6 8 13 18 26 37 46 53 56 55 52 50 48 48 52 54 53 43 28 20 22 31 38 42 46 50 51 51 53 54 55 47 34 21 11 5 3 2 1 0 0 0 0 0 0 0 0 0 1 12 34 51 57 60 64 67 62 47 35 28 24 31
5 5 8 9 9 6 3 1 4 10 16 16 13 9 8 7 6 2 1 1 2 9 11 8 3 2 2 2 1 0 1 1 2 2 1 0 0 0 1 1 2 1 2 6 10 6 4 5 7 8 7 5 6 16 28 36 38 38 37 36 36 36 37 39 40 40 41 44 45 46 44 38 34 32 25 15 6 4 5 8 14 19 21 18 14 10 9 10 12 15 17 17 14 9 4 1 0 0 1 0 0 0 0 0 0 1 2 5 12 22 36 46 52 53 52 52 50 49 53 59 62 52 35 24 26 34 43 51 56 61 62 58 60 64 62 52 36 22 14 10 5 3 2 0 0 0 0 0 0 0 0 0 0 7 29 52 64 67 70 67 55 39 28 18 15 22
4 5 8 10 10 7 4 4 11 20 24 21 15 10 10 12 8 2 1 2 4 8 8 4 1 1 2 2 2 2 2 2 2 2 1 1 1 2 2 3 3 3 3 8 12 10 8 10 13 13 10 7 10 24 36 42 44 45 44 42 38 35 34 36 39 38 37 38 41 45 44 37 33 28 16 6 1 0 0 0 3 5 7 6 3 2 1 2 3 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 15 28 40 49 53 52 54 55 53 52 56 61 57 45 36 39 50 60 64 65 66 63 60 63 66 61 52 36 22 15 11 6 2 1 0 0 0 1 1 0 0 0 0 0 4 21 45 62 73 81 83 71 50 34 22 17 21
4 4 6 10 11 9 7 11 21 27 27 22 15 10 9 13 9 2 1 1 2 4 2 1 0 0 1 1 3 5 4 3 1 1 2 2 3 4 5 4 4 4 5 9 14 16 14 17 22 24 23 21 26 34 40 42 44 47 49 49 44 34 25 27 32 33 31 30 33 39 42 38 33 23 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 1 4 11 18 28 37 45 48 55 58 54 48 48 51 50 45 44 56 74 77 71 66 61 54 52 55 56 55 47 33 20 12 8 4 2 2 0 0 2 4 4 2 0 0 0 0 2 12 33 55 72 82 91 91 76 53 34 24 23
4 4 5 10 12 11 13 20 26 27 25 21 17 13 11 12 9 2 1 1 1 1 0 0 1 1 1 3 9 12 6 3 2 1 3 5 8 10 11 10 7 6 7 11 15 18 18 20 27 33 36 38 40 42 42 41 40 41 43 47 49 39 21 19 22 24 23 22 25 32 38 43 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 2 4 6 10 14 21 33 49 58 54 45 43 45 46 44 50 71 87 78 69 57 47 40 38 39 40 39 34 22 12 6 3 2 1 0 0 1 3 6 6 3 1 0 0 1 1 6 20 41 65 78 91 102 98 78 55 38 33
4 5 7 11 12 13 19 25 31 32 29 24 20 17 13 12 9 2 0 0 0 0 0 0 1 2 2 4 10 10 5 2 2 2 5 11 16 17 18 17 15 12 12 14 16 17 17 19 27 34 36 37 41 42 40 38 35 31 30 36 46 43 26 17 14 13 13 14 17 24 33 38 30 12 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 2 4 15 40 58 57 48 43 46 46 48 61 83 90 79 57 39 26 17 16 20 25 25 20 12 6 4 2 1 0 0 0 0 3 6 6 5 3 1 0 1 2 4 11 26 48 67 87 106 112 101 82 64 54
4 6 9 12 13 17 24 27 31 34 30 24 20 17 14 12 8 1 0 0 0 0 0 0 1 1 1 2 5 4 2 2 2 4 9 15 18 19 20 21 19 16 16 17 17 17 18 23 30 34 31 30 33 35 35 33 29 25 22 26 34 36 25 13 6 5 4 5 9 16 27 33 23 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 4 31 57 64 58 52 52 51 54 73 90 82 58 31 17 8 4 5 10 14 12 7 5 4 5 4 2 0 0 0 0 2 5 6 5 4 3 1 0 1 4 8 15 28 44 64 86 106 114 108 94 82
5 8 11 12 16 22 26 28 30 31 27 21 16 15 14 11 5 0 0 0 0 0 0 0 1 2 2 3 4 4 6 4 2 4 10 14 17 18 19 20 20 18 18 18 18 19 23 31 36 34 31 30 29 30 30 30 29 27 23 22 22 20 12 4 1 1 0 1 3 10 21 25 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 18 42 57 63 64 64 62 67 83 78 55 27 9 3 1 1 3 6 6 4 1 2 4 5 5 3 1 0 0 2 4 6 6 6 5 4 1 1 1 2 4 8 13 21 31 46 68 94 114 115 110
6 10 12 12 19 22 24 28 30 29 23 17 14 13 12 9 4 0 0 1 1 0 0 0 1 2 3 4 5 8 11 8 3 3 8 13 15 16 16 17 18 18 19 21 21 21 24 34 38 34 33 34 31 29 28 29 30 30 25 18 12 7 2 0 0 0 0 0 2 7 13 12 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 5 17 29 42 56 62 64 65 63 42 20 6 1 0 0 0 1 3 2 1 0 1 2 4 4 4 2 2 5 11 16 17 15 14 12 11 8 7 3 1 1 2 4 6 10 16 26 45 75 101 116
6 10 13 13 18 20 22 25 27 26 20 16 14 12 10 6 1 0 0 1 1 0 0 0 0 2 4 4 5 8 11 10 5 3 7 12 14 12 12 13 15 17 22 27 27 23 23 32 36 34 33 32 29 26 25 25 26 22 16 10 5 1 0 0 0 0 0 0 1 5 8 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 2 7 13 20 31 36 39 26 9 2 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 7 16 27 34 35 37 39 39 36 33 24 18 12 7 3 1 0 1 1 2 5 10 24 54 86
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3 6 12 16 15 15 18 22 21 15 12 11 11 10 7 3 2 3 3 2 0 0 0 0 0 0 0 0 0 0 2 5 5 6 10 14 13 11 14 18 23 29 32 30 27 26 28 30 24 17 11 7 6 8 9 9 6 3 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 15 16 14 13 19 26 34 42 52 64 76 84 79 68 56 46 36 28 16 6 3 4 4 9 28
2 4 10 15 15 14 17 19 16 11 8 8 9 8 6 3 4 4 2 1 0 0 0 0 0 0 0 0 0 1 2 5 8 12 18 21 18 18 21 26 30 33 31 26 25 25 22 18 10 4 2 2 3 4 4 3 1 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 0 0 0 0 0 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 4 2 1 0 5 11 16 23 33 45 61 81 100 106 98 81 72 68 54 35 24 18 20 32
2 5 10 14 13 12 14 13 10 7 6 7 7 7 6 4 4 3 0 0 0 0 0 0 0 0 0 0 1 3 5 9 16 23 29 31 27 26 28 31 34 33 27 24 24 20 10 4 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 2 4 6 10 17 27 48 80 100 88 71 69 82 98 95 71 51 40 42
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