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