Vorticity
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nan 8 7 7 7 8 9 10 9 9 8 8 8 7 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 9 9 8 8 8 8 7 7 7 6 7 7 8 8 8 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 10 10 10 9 9 8 8 9 10 10 10 9 8 7 6 6 6 5 4 5 5 6 8 12 18 22 23 22 19 17 15 15 14 14 13 13 12 12 11 11 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 nan
nan 8 8 8 8 9 9 10 9 8 8 7 7 7 7 7 7 7 7 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 10 10 9 9 8 8 9 10 11 11 10 9 8 8 8 8 7 6 6 5 5 6 8 13 18 21 23 23 21 20 20 19 18 17 14 13 12 11 11 11 10 10 9 9 9 9 9 9 9 9 8 8 8 9 8 8 8 8 7 7 7 7 7 7 nan
nan 8 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 8 9 9 8 8 7 7 7 7 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 9 9 10 10 11 11 10 9 9 9 9 8 7 7 7 6 6 7 11 15 20 22 23 24 24 25 24 22 18 15 13 12 11 11 10 10 9 9 9 10 10 10 10 9 9 9 9 9 9 9 8 8 8 7 7 7 6 7 nan
nan 8 8 8 8 8 8 9 8 8 7 7 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 11 12 11 9 9 9 9 10 11 11 10 10 10 10 10 9 8 8 9 8 7 6 7 9 14 17 18 20 22 24 27 26 22 18 15 14 12 11 11 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 7 7 7 7 nan
nan 8 8 8 8 9 9 9 9 9 9 8 8 7 7 6 6 6 6 7 7 8 8 8 9 9 9 8 7 7 6 6 7 8 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 9 10 11 12 12 11 11 10 10 10 9 8 8 9 9 8 8 7 7 9 10 11 12 14 18 23 26 25 22 18 16 14 13 12 11 11 10 10 10 10 10 11 11 10 10 9 9 9 9 8 8 8 8 8 7 7 7 nan
nan 8 8 8 9 9 10 10 10 10 10 9 8 8 7 7 7 7 7 7 7 8 8 8 9 9 10 9 8 7 7 6 7 8 8 9 9 10 10 9 9 9 9 8 8 8 8 8 9 8 8 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 12 12 12 11 11 10 9 9 9 9 9 9 9 9 9 8 7 7 7 8 8 9 12 17 23 26 25 22 19 16 14 13 12 12 11 11 10 10 10 10 11 10 10 9 9 9 9 9 9 8 8 8 8 8 7 nan
nan 8 8 9 9 9 10 10 11 10 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 9 9 10 9 9 9 8 7 7 6 6 7 8 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 11 10 9 9 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 8 9 10 11 12 12 12 11 10 9 9 8 9 10 9 9 9 9 8 8 7 7 7 8 8 9 13 18 23 26 26 23 19 16 14 13 12 12 12 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 nan
nan 8 9 9 9 9 10 11 11 10 10 9 9 9 9 8 8 8 7 7 8 9 9 9 9 9 10 10 10 10 10 9 8 7 5 5 6 7 8 9 10 10 10 9 8 8 7 7 7 8 9 9 9 10 10 11 11 11 11 10 10 9 8 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 11 12 11 10 9 9 9 10 10 10 10 9 9 8 8 7 7 7 8 8 8 9 12 17 22 26 28 26 22 18 16 14 13 12 12 11 11 11 10 11 11 11 10 10 10 9 9 9 9 8 8 8 8 nan
nan 9 9 9 9 10 10 11 11 10 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 11 10 10 9 10 10 9 9 8 7 6 6 7 8 8 9 10 10 8 7 7 6 7 7 8 8 8 9 9 10 11 12 13 13 12 12 11 10 8 7 7 8 9 9 9 9 9 9 8 8 8 8 7 7 7 8 9 10 10 10 10 10 11 11 11 10 10 10 9 9 8 7 7 7 7 7 7 7 8 11 15 21 26 29 28 25 21 19 18 16 15 14 13 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 nan
nan 9 9 10 10 10 11 11 11 10 9 9 9 9 10 11 11 12 12 13 13 13 13 12 12 11 10 9 8 8 8 9 9 8 7 7 7 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 9 9 11 12 13 13 13 13 12 11 10 9 8 8 8 9 10 9 9 9 9 8 8 7 7 7 7 7 7 8 9 10 10 11 12 12 11 10 10 9 9 9 8 8 7 7 7 7 7 7 7 8 10 13 18 24 27 28 28 26 26 26 25 22 18 15 13 12 12 12 12 11 11 10 10 9 9 9 9 9 9 nan
nan 11 10 10 11 11 11 12 12 10 9 9 9 10 10 11 11 12 12 13 13 12 11 11 10 9 9 8 7 7 8 8 9 8 8 8 8 8 9 9 9 8 6 5 4 4 5 6 6 7 8 8 8 8 9 10 11 11 11 12 12 12 12 12 11 10 9 9 9 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 10 12 12 12 11 10 9 9 8 8 8 8 8 7 7 6 6 6 6 7 8 11 15 20 24 27 28 29 31 33 31 26 21 17 15 14 13 12 12 12 11 11 10 10 10 9 9 9 nan
nan 13 12 12 12 12 13 13 12 11 10 9 10 10 11 11 11 11 11 12 11 11 10 10 10 10 9 8 7 7 7 8 9 8 9 9 9 9 10 10 10 9 7 5 4 4 5 6 7 7 8 8 8 8 9 10 10 9 9 10 11 11 13 15 14 12 11 10 10 10 10 10 10 9 9 9 9 9 9 8 8 7 6 7 8 9 9 10 11 11 11 11 10 9 7 7 8 9 9 8 8 7 6 6 6 6 6 7 9 11 15 18 20 21 24 27 30 28 24 20 18 16 14 14 13 12 12 12 11 11 10 10 10 10 nan
nan 15 14 14 14 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 9 8 7 7 7 8 9 9 9 10 10 11 11 12 12 11 8 6 5 5 6 7 8 8 8 8 8 8 9 9 9 8 8 8 10 11 13 15 15 14 12 11 11 10 10 10 10 10 10 9 9 10 10 10 9 7 7 7 8 8 8 8 9 10 11 11 11 10 9 8 8 9 9 9 8 8 7 6 6 5 6 6 7 8 9 11 12 13 14 16 19 21 21 19 18 16 16 15 14 13 13 12 12 11 11 11 10 10 nan
nan 16 15 15 15 14 13 12 12 12 13 13 12 11 12 12 12 12 12 11 10 11 11 12 12 11 10 9 8 8 8 9 9 9 9 10 11 11 12 12 12 12 11 8 7 7 8 8 9 9 8 8 7 8 9 9 8 7 7 8 9 10 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 11 10 9 8 8 8 8 8 7 8 9 10 11 12 12 11 10 10 9 9 8 8 8 8 7 6 5 5 6 7 8 8 9 10 11 12 12 13 14 15 16 16 15 15 15 15 14 13 13 12 12 12 11 11 11 nan
nan 14 14 14 14 14 13 11 11 12 13 13 12 12 12 12 13 12 12 11 11 12 13 13 12 12 11 11 10 10 10 9 9 9 9 10 10 11 11 11 12 12 11 10 10 9 8 8 8 7 7 7 8 8 9 9 8 7 7 8 8 9 8 8 9 10 11 12 11 11 10 10 9 9 10 10 11 10 10 10 11 10 9 9 8 8 8 8 8 8 9 10 11 11 11 11 11 10 9 9 8 8 8 8 7 5 5 6 7 8 8 9 9 11 13 14 14 14 15 15 15 14 14 14 14 14 13 13 12 12 12 12 11 11 nan
nan 11 11 12 12 11 10 10 10 11 12 13 13 12 12 12 12 12 11 12 12 13 14 14 13 13 12 12 12 11 11 10 9 9 9 9 10 10 10 10 11 11 12 12 11 10 8 7 7 6 6 6 7 8 8 8 8 7 7 7 6 6 5 5 6 7 9 10 10 11 10 10 9 9 9 10 10 10 10 10 10 11 10 10 9 9 8 8 8 8 8 9 9 10 11 11 11 10 10 9 9 9 9 9 8 7 6 6 6 7 7 8 9 11 14 16 18 18 20 20 18 16 14 13 13 13 13 13 12 12 12 12 11 11 nan
nan 8 9 10 9 9 9 9 10 11 13 14 13 12 11 11 11 11 11 11 12 12 13 14 14 14 14 14 13 12 11 10 9 9 9 9 9 9 9 10 11 11 12 12 12 11 9 7 6 5 5 5 6 7 7 7 6 6 5 5 4 4 4 4 5 6 8 9 9 10 11 12 11 10 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 9 9 8 7 7 6 6 7 8 9 11 15 18 20 21 23 24 24 22 18 15 14 13 13 13 12 12 12 11 11 11 nan
nan 7 8 8 8 8 9 9 10 11 13 14 12 11 11 11 10 10 11 11 10 10 11 13 13 14 15 15 14 13 13 12 11 10 10 9 9 8 9 10 11 12 12 13 12 11 10 8 6 5 4 5 6 6 6 5 5 4 4 4 3 3 4 5 5 6 8 9 10 11 12 13 13 12 11 10 10 11 11 10 8 7 7 8 8 8 8 9 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 7 9 11 14 15 16 17 19 22 26 26 24 20 16 14 14 13 13 13 12 12 11 11 nan
nan 7 7 8 8 8 8 9 9 11 13 13 12 10 10 10 10 10 10 10 9 9 9 10 11 12 13 14 14 15 16 15 14 12 10 9 8 8 9 10 11 12 13 13 12 12 11 10 9 7 6 6 6 6 6 5 4 4 4 4 4 5 5 6 6 7 8 9 10 11 12 13 12 12 11 11 12 12 12 10 8 7 7 7 7 7 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 10 10 9 9 8 7 7 6 7 8 9 10 10 10 10 12 15 20 24 26 24 19 15 14 14 13 13 13 12 12 11 nan
nan 8 7 8 8 8 8 8 8 10 11 11 10 9 9 8 8 8 9 9 8 8 8 9 9 10 11 12 13 14 15 15 14 13 11 9 8 9 9 10 11 12 13 13 12 12 12 12 12 10 8 8 7 7 6 6 5 5 5 5 6 7 7 6 7 8 8 9 10 11 11 11 10 10 10 11 12 13 12 10 9 9 8 7 6 6 7 7 7 7 7 8 9 10 11 11 11 12 12 11 10 10 10 10 10 10 9 9 8 7 7 7 7 7 8 8 7 7 7 8 12 17 23 24 20 17 15 14 13 13 12 12 12 11 nan
nan 8 8 8 8 8 7 7 8 9 9 9 8 8 7 7 7 7 7 8 8 8 7 7 8 9 9 10 10 11 12 13 14 13 12 10 9 9 9 9 10 11 12 12 12 12 13 13 13 12 10 9 8 8 7 7 7 7 7 7 7 7 8 7 8 8 8 9 9 9 9 8 8 8 8 9 11 11 11 11 11 11 11 9 7 7 6 6 6 6 6 7 8 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 9 8 7 8 8 8 7 7 7 6 4 3 3 7 13 17 17 16 15 13 13 12 12 12 11 11 nan
nan 8 8 8 8 8 7 7 8 8 8 7 7 7 7 7 6 6 7 7 8 8 7 7 7 8 8 8 8 9 9 11 12 12 12 12 11 10 10 10 10 11 11 11 11 12 12 13 14 13 11 10 9 8 7 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 8 8 7 7 8 9 10 11 12 12 13 12 11 10 9 8 7 7 6 6 6 7 8 8 9 10 11 12 12 12 12 12 11 11 11 10 9 8 8 7 8 8 8 8 8 8 7 5 2 -1 0 3 8 11 12 12 12 12 12 11 11 11 11 nan
nan 9 9 9 9 9 8 7 8 8 8 7 7 6 7 7 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 10 10 11 12 12 10 10 10 11 11 11 11 10 11 11 11 12 13 13 12 11 10 9 9 8 7 7 7 6 5 6 6 7 8 8 8 7 7 7 8 8 8 8 8 9 9 10 11 12 12 12 12 12 12 12 11 11 10 9 8 7 6 6 7 7 8 9 10 11 11 12 12 12 12 11 10 9 8 7 7 8 8 8 7 8 10 11 11 9 6 4 3 3 5 7 8 9 10 10 10 10 10 9 nan
nan 9 9 10 10 9 8 8 8 8 9 9 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 10 11 10 9 9 10 11 11 11 10 10 10 11 11 12 12 11 11 11 12 12 12 12 12 11 11 10 8 7 7 7 8 8 8 8 7 7 7 7 8 7 8 8 8 9 10 11 11 11 12 12 13 13 13 13 13 12 11 10 8 7 7 7 8 8 9 9 9 10 11 12 12 12 11 9 8 7 7 8 9 8 8 9 11 13 16 17 16 14 10 6 5 5 6 7 7 8 8 8 8 8 nan
nan 8 9 9 9 9 8 8 8 9 9 9 8 8 7 7 7 8 7 7 7 7 7 6 7 7 9 9 10 9 9 8 8 9 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 10 11 12 13 14 15 15 15 14 14 12 11 10 9 9 9 8 7 6 6 6 6 6 6 6 7 7 8 8 8 9 10 11 12 12 13 13 13 13 13 12 11 10 9 8 8 8 8 8 8 8 9 10 11 11 11 10 9 8 8 9 10 10 10 10 11 13 15 18 20 20 17 12 9 7 7 7 6 6 7 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
CAPE
21 18 14 12 22 30 34 35 35 34 30 22 12 6 4 6 11 15 10 7 5 5 5 7 9 10 11 11 14 21 31 39 44 48 50 51 51 49 47 46 42 38 39 44 49 46 44 43 48 53 53 50 49 49 41 31 19 11 10 14 13 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 7 10 9 9 10 21 29 18 11 13 15 15 18 16 15 15 13 10 6 3 1 1 1 1 0 0 0 0 1 2 3 4 5 7 7 8 7 6 6 5 3 2 2 2 0 0 0 0 0 0 0 0 0 0 1 1 1
20 17 12 9 20 26 30 31 30 27 23 16 11 8 7 9 13 9 4 4 3 4 5 6 7 8 7 7 8 12 22 32 39 45 50 54 55 55 53 50 47 44 41 45 48 46 42 40 44 50 53 51 50 49 41 30 22 17 16 20 19 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 9 15 20 25 30 22 13 13 14 14 16 15 15 15 14 11 7 4 3 2 2 2 2 1 1 0 0 0 0 1 2 1 0 1 1 1 2 3 3 2 2 2 1 1 0 0 0 1 1 1 0 0 0 1 1
20 17 11 11 17 21 26 27 24 20 17 14 11 10 8 10 8 9 8 6 6 6 5 4 5 5 5 6 7 9 15 23 31 38 45 51 56 59 59 56 52 50 47 49 50 49 46 42 43 46 49 49 49 45 39 31 24 21 21 25 24 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 9 16 19 23 28 21 13 14 13 14 16 17 17 16 15 12 7 6 5 4 4 4 3 3 3 2 1 0 0 0 0 0 0 1 1 1 2 4 3 2 3 3 2 1 0 0 1 1 2 1 1 0 0 1 1
21 18 13 11 14 18 23 23 20 17 16 15 13 13 11 13 14 16 15 13 9 6 4 4 4 4 4 6 6 7 9 14 21 29 36 43 49 57 59 56 53 50 48 48 48 47 45 42 39 39 42 42 42 40 36 30 26 24 23 27 29 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 12 16 21 27 23 13 13 14 14 16 18 19 18 16 14 9 7 7 5 5 5 4 3 3 2 2 1 2 1 1 1 1 1 1 1 3 3 2 2 2 3 3 2 1 0 1 1 1 2 1 0 0 0 1
22 16 14 14 14 16 20 21 20 19 19 20 19 19 19 22 25 27 26 24 19 13 10 8 8 7 6 5 5 5 6 8 12 18 27 38 45 51 54 54 50 47 46 45 44 42 38 36 33 33 34 35 35 34 31 28 27 26 25 29 24 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 9 19 22 23 18 15 14 15 16 17 19 19 19 15 11 9 7 6 5 5 5 5 5 3 2 2 2 2 2 2 2 2 1 2 2 2 1 1 2 3 3 2 1 1 1 1 1 1 0 0 0 0 0
24 20 16 16 15 19 20 21 21 22 23 26 28 28 29 31 33 35 35 35 32 26 20 16 14 12 10 8 6 5 5 6 7 11 20 30 38 44 45 45 46 45 44 43 42 38 33 29 25 25 26 26 25 27 28 28 27 27 27 28 15 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 15 7 14 18 20 21 18 15 15 16 17 19 21 21 16 12 9 8 7 6 6 6 4 4 3 3 3 3 3 3 3 3 2 2 2 2 1 1 1 2 2 3 2 2 2 2 0 0 0 0 0 0 0 0
27 23 18 18 17 21 23 23 23 24 26 30 34 36 37 38 38 39 40 40 39 35 30 26 22 17 13 10 6 5 5 5 6 8 11 15 23 31 37 39 40 42 42 41 41 37 32 27 24 23 23 23 23 24 24 25 26 26 28 30 10 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 9 5 10 15 17 20 19 17 15 16 17 19 22 23 18 14 11 8 7 7 6 5 3 4 4 4 3 3 3 3 3 3 2 2 2 2 1 1 1 1 2 3 3 3 2 1 1 1 1 1 1 0 0 0
29 27 22 20 20 23 26 27 27 27 31 37 42 41 42 43 43 43 43 43 42 40 38 35 31 24 17 12 8 6 5 5 6 7 7 8 8 15 24 30 35 37 40 42 42 40 35 30 26 24 23 22 21 21 21 21 23 25 28 31 16 8 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 7 13 17 18 18 17 17 17 18 19 21 22 20 16 13 10 8 7 5 4 4 3 3 3 3 4 3 3 3 3 3 2 2 2 2 2 2 2 2 3 4 3 2 1 1 1 1 1 1 0 0 0
31 29 25 23 23 25 28 30 30 31 36 42 44 44 46 48 48 48 47 45 44 43 42 41 38 33 25 18 14 10 7 5 5 5 5 6 7 8 11 16 21 26 33 38 42 40 35 30 25 21 20 19 18 17 17 19 21 24 26 29 22 11 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 9 12 16 17 17 19 20 19 20 21 22 20 17 14 12 9 8 6 5 5 4 4 3 3 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 2 2 1 1 1 1 1 0 0
32 29 25 25 27 28 31 34 34 35 40 46 47 48 50 52 54 56 54 50 48 47 47 44 42 38 32 26 21 17 13 9 7 6 4 5 5 6 7 8 9 13 20 25 30 31 28 25 22 19 18 17 15 13 14 17 20 23 26 31 29 17 5 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 6 10 14 19 21 21 21 20 20 20 20 18 15 14 12 9 8 6 5 5 5 5 4 3 4 4 4 3 3 3 3 2 2 2 2 2 2 2 2 3 3 3 3 2 2 1 1 1 1 0 0
33 31 28 27 29 32 35 39 39 41 44 48 49 52 54 56 60 62 60 57 53 52 51 48 46 41 37 32 27 23 19 15 13 11 9 6 5 4 5 6 6 7 10 12 15 17 19 19 18 17 16 15 16 16 15 16 20 25 30 35 36 27 11 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 12 20 24 24 22 21 21 20 19 17 14 13 12 10 8 8 7 5 5 5 4 4 4 4 4 4 3 3 3 3 2 2 2 2 2 2 2 3 3 3 4 3 2 2 1 1 1 1 0
34 31 29 28 31 35 40 45 46 47 49 51 51 53 54 57 62 65 65 62 59 58 56 54 50 45 41 36 32 27 23 21 19 16 13 11 8 6 4 4 4 4 6 8 9 11 13 13 13 14 14 15 15 15 15 16 22 29 35 38 38 31 14 4 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 9 17 24 26 24 24 23 20 20 18 15 13 13 12 10 10 9 7 6 5 5 4 4 5 4 4 4 4 3 3 3 2 2 2 2 2 2 2 3 3 4 4 2 2 2 1 1 1 1
33 29 29 30 34 40 46 48 49 50 53 54 55 56 56 57 61 64 66 67 65 64 62 59 55 49 45 40 36 32 26 22 21 19 18 17 13 9 8 6 4 3 4 6 7 9 10 10 11 12 11 12 13 14 14 15 23 33 39 41 38 33 22 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 5 14 22 27 29 29 27 23 22 20 17 14 12 12 11 11 10 8 6 5 5 4 4 5 4 4 4 4 4 3 4 3 2 2 3 2 2 3 3 3 3 4 3 3 2 2 2 2 1
31 31 32 34 39 44 49 52 50 52 54 54 56 58 59 60 61 63 67 70 70 69 69 66 61 56 51 46 41 37 32 27 23 20 22 23 19 14 12 10 8 7 4 5 5 6 8 10 12 13 14 13 12 15 15 15 24 35 43 42 36 30 18 7 4 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 18 25 29 31 30 26 24 21 19 16 14 14 14 13 12 11 8 6 5 5 5 5 5 6 5 5 4 4 4 3 3 3 3 2 2 3 2 3 3 3 4 4 3 2 2 2 1
34 37 42 47 48 48 51 54 51 52 55 54 56 59 61 62 64 66 66 69 74 76 75 73 69 64 58 52 48 44 40 35 30 26 26 26 24 21 18 16 14 13 7 6 6 5 6 8 10 12 14 15 14 18 19 21 28 38 44 41 35 33 17 8 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 19 22 27 30 27 26 22 21 19 17 16 16 17 14 13 11 8 6 5 5 5 5 4 4 5 4 5 4 3 3 3 3 3 2 2 1 2 2 3 3 3 2 2 1 2 2
43 52 63 65 58 54 53 53 53 54 55 57 58 57 58 61 63 62 64 67 72 76 78 79 77 72 66 60 55 50 46 42 40 37 35 32 29 26 24 23 20 19 13 9 7 6 6 7 8 12 15 16 18 21 24 28 34 41 47 46 35 27 19 11 5 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 8 12 15 19 23 25 26 24 22 21 20 18 17 18 17 14 12 9 7 5 5 6 6 5 5 5 5 6 5 5 5 4 3 2 1 1 2 1 1 1 1 2 1 2 1 1 2
63 68 68 57 49 54 59 60 57 56 58 58 58 58 58 60 62 60 60 62 67 72 77 81 81 78 73 67 61 55 49 45 44 43 41 37 33 31 28 27 25 23 19 14 11 7 5 6 8 11 14 16 18 20 25 33 38 40 41 38 29 18 12 6 3 2 2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 8 11 14 18 24 27 25 22 21 21 20 17 17 17 16 13 11 8 6 5 6 6 6 6 6 6 6 6 6 6 5 2 2 2 2 2 2 2 2 1 2 1 1 2 2 2
82 73 51 31 32 45 59 67 65 60 59 58 57 56 56 58 64 63 61 62 64 68 73 77 79 78 75 71 66 61 54 51 50 47 44 42 37 33 30 28 27 24 21 18 16 12 8 7 7 8 11 15 17 20 25 32 36 31 25 19 14 10 8 3 1 1 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 7 9 11 14 20 25 25 21 20 20 20 18 17 17 17 16 15 17 16 7 6 6 6 6 7 7 8 8 7 7 7 4 3 3 3 3 3 3 2 2 2 2 2 2 2 2
56 38 26 22 26 35 49 59 64 64 62 58 54 52 51 52 57 61 65 66 63 64 68 72 73 73 72 71 69 66 61 55 54 50 46 47 40 34 30 28 28 25 24 21 18 17 14 9 8 8 10 12 15 19 23 29 32 24 17 14 11 8 5 2 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 8 9 10 12 15 22 26 20 20 20 19 18 17 18 18 17 22 40 42 11 8 6 6 6 6 7 8 9 9 8 6 5 5 4 4 3 3 3 3 3 3 3 3 3 3 3
19 15 15 19 25 31 41 47 53 60 62 59 54 49 45 41 45 56 61 63 61 60 62 64 67 69 71 72 71 68 66 63 60 56 50 50 48 42 35 32 30 26 25 24 21 19 17 14 11 9 9 10 12 16 22 27 27 19 13 11 9 7 4 2 1 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 4 7 9 11 12 17 25 22 19 19 18 17 16 16 17 18 27 59 73 49 33 21 12 7 7 6 7 8 9 9 8 7 6 5 5 4 4 3 3 3 3 4 4 4 4 4
12 9 10 16 22 26 35 40 44 49 54 56 56 50 40 34 33 41 52 62 64 62 61 62 67 70 73 74 72 70 69 67 65 61 56 52 53 51 43 39 36 34 33 32 29 25 18 17 13 11 10 11 12 13 18 22 20 12 7 3 1 2 2 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 10 11 13 18 20 19 19 18 16 14 15 17 20 28 64 86 86 77 65 49 31 17 13 11 9 9 10 9 10 9 7 5 5 4 3 4 3 3 3 4 4 3 3
10 6 6 9 16 20 29 36 40 42 47 50 51 48 41 35 30 32 38 50 58 62 66 72 76 74 74 74 74 73 71 69 67 65 60 54 58 59 50 42 36 34 33 32 32 32 29 25 20 16 13 11 11 10 11 11 13 6 2 0 0 0 0 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 3 8 11 12 14 15 17 19 19 16 14 13 15 17 26 59 80 91 96 96 93 83 58 43 32 21 15 18 25 28 23 19 16 7 5 4 4 4 4 4 3 5 11 10
7 5 3 4 10 15 24 30 33 38 44 47 47 46 42 38 34 32 32 37 45 53 62 73 80 78 76 73 73 74 73 71 69 68 63 57 62 63 53 38 25 19 17 21 23 27 29 29 27 24 19 16 14 7 4 2 8 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 1 4 9 11 12 12 15 18 19 17 16 16 13 15 40 61 77 87 95 104 111 108 96 82 66 53 42 39 48 51 46 42 41 34 26 17 9 6 5 10 17 26 32 32
5 4 2 1 3 9 18 24 28 36 42 43 44 45 43 40 37 34 32 33 36 42 51 60 71 75 75 75 76 76 74 72 72 73 68 61 61 56 44 29 17 11 9 9 12 14 17 21 24 25 23 20 20 8 3 1 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 1 6 9 10 11 13 15 16 16 15 15 14 14 27 53 76 85 89 93 105 112 113 106 95 82 70 63 62 58 55 57 59 58 53 46 39 30 14 25 36 42 44 44
3 2 1 0 0 3 11 17 23 30 37 39 41 42 42 41 39 40 39 36 35 36 39 45 56 64 69 73 75 76 74 72 72 73 71 66 56 43 31 21 13 8 6 6 5 4 5 8 13 20 26 23 17 8 4 1 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 2 5 7 8 11 13 14 14 15 15 15 16 26 53 80 86 89 92 96 104 110 113 110 102 94 87 77 69 65 67 70 73 74 72 61 50 41 42 45 47 48 48
1 1 0 0 0 1 4 10 16 21 27 32 36 37 39 38 37 43 44 40 38 36 36 37 43 52 59 64 66 66 65 66 68 69 68 60 48 36 26 17 9 5 4 4 3 2 1 1 2 7 9 6 4 5 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 1 2 4 7 10 11 11 12 14 14 15 18 33 63 83 90 94 92 91 97 106 113 116 115 113 111 99 88 81 80 84 91 101 101 84 68 60 58 57 55 53 53
0 0 0 0 0 0 1 4 7 11 15 19 20 17 16 22 23 28 33 36 37 36 35 34 35 42 48 53 56 56 57 58 60 60 55 45 35 27 18 10 5 2 1 1 1 1 0 0 0 0 2 3 2 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 1 2 4 8 10 11 9 8 11 13 14 16 29 61 86 96 101 95 91 98 109 120 125 120 123 122 116 108 102 100 103 110 121 119 105 94 89 85 80 77 76 70
0 0 0 0 0 0 0 1 1 2 3 5 4 3 0 4 7 8 12 17 21 23 26 28 30 31 32 37 44 48 49 43 37 33 32 27 21 16 10 5 2 0 0 0 0 0 0 0 0 0 1 2 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 1 3 8 10 11 10 6 8 12 13 17 33 66 88 99 107 107 105 106 115 130 140 135 134 129 124 120 118 121 124 129 133 128 118 113 111 111 107 102 98 91
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 5 10 14 15 13 13 17 21 25 31 20 18 15 15 14 11 9 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 2 6 8 10 11 8 7 11 13 17 30 60 83 98 110 116 118 116 114 124 143 152 152 136 121 120 120 129 134 136 137 135 131 128 129 131 127 117 111 104
1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 2 3 5 5 5 7 6 7 6 6 6 6 5 4 1 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 2 4 5 8 12 11 10 11 19 31 42 59 77 95 110 120 125 127 121 123 133 143 152 158 151 126 120 129 134 133 132 132 133 136 138 141 136 130 122 114
1 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 1 2 1 2 2 2 2 3 3 3 2 2 1 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 1 2 2 6 11 16 22 19 61 62 61 64 74 90 108 122 130 135 132 129 129 133 143 151 147 137 136 142 142 138 134 133 133 134 137 141 138 141 142 134
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