Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
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nan 7 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 7 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 7 5 4 5 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 11 11 12 11 9 8 8 7 8 8 9 9 9 10 9 8 6 4 3 3 3 3 3 4 5 6 8 10 13 15 16 14 12 10 10 11 11 12 12 13 13 13 13 13 13 14 14 14 13 13 13 12 11 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 nan
nan 8 7 7 7 7 8 9 7 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 8 8 8 7 6 4 4 5 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 9 8 8 9 11 12 13 12 11 8 6 4 3 4 4 3 2 3 4 5 7 9 14 20 22 19 16 13 13 15 16 16 16 15 15 15 15 15 15 15 15 14 14 13 12 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 nan
nan 8 7 7 7 7 8 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 6 6 6 6 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 6 5 5 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 9 9 9 11 12 12 12 10 8 6 5 6 6 6 6 5 6 7 6 5 7 12 18 21 22 22 23 25 26 25 23 20 18 17 17 17 17 16 16 15 14 13 12 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 9 9 nan
nan 8 8 7 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 7 7 8 8 7 7 7 7 8 8 8 8 7 7 6 6 5 7 8 8 8 8 8 8 9 10 9 9 9 9 9 9 9 9 9 10 10 10 9 9 11 12 12 11 10 10 10 10 9 8 8 8 7 7 7 8 9 9 9 10 11 11 8 5 5 7 10 15 20 26 32 36 36 33 29 24 19 17 17 16 16 15 14 13 12 11 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 10 10 9 9 nan
nan 8 8 8 8 9 9 9 7 6 7 7 8 8 8 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 9 9 8 9 8 8 8 7 6 6 7 8 9 9 9 9 8 9 10 10 10 10 9 9 9 9 9 9 10 10 10 10 9 10 11 12 12 12 12 12 12 11 10 9 8 7 7 8 10 11 11 11 12 12 12 10 7 7 6 6 7 9 15 22 27 30 31 30 26 22 18 16 15 15 14 13 12 11 10 9 9 9 10 10 10 11 10 10 10 10 10 10 10 11 11 11 11 10 9 9 nan
nan 8 9 9 8 8 9 8 6 6 7 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 6 7 8 9 10 9 8 8 8 8 8 7 7 7 8 9 10 10 10 10 9 10 10 10 10 9 9 8 8 9 9 10 10 10 10 10 10 11 11 11 11 11 12 13 13 12 12 11 10 8 9 11 12 12 12 12 13 13 12 9 8 8 8 8 8 9 11 14 17 17 18 18 18 19 19 18 16 14 13 12 11 10 9 9 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 9 nan
nan 8 8 9 9 8 8 7 7 7 7 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 10 9 8 8 8 8 9 10 10 10 10 10 11 11 12 12 12 11 10 11 11 11 11 11 10 10 10 11 12 12 11 11 12 13 13 12 10 9 9 10 10 9 9 9 10 10 10 9 10 14 20 23 22 19 15 13 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 9 nan
nan 8 8 9 9 8 8 8 7 7 8 8 7 7 6 6 6 6 6 6 6 8 9 8 8 8 8 8 8 8 8 7 7 7 8 8 9 9 8 8 8 9 9 8 7 8 8 8 8 9 10 11 11 10 9 9 9 10 11 11 10 10 10 11 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 11 12 12 11 11 11 12 13 13 11 9 9 9 10 9 9 8 8 8 8 8 8 9 14 20 24 24 23 19 15 12 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 9 9 nan
nan 8 9 10 9 8 8 8 8 8 8 8 8 7 6 6 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 9 10 9 7 7 7 7 7 7 8 9 9 9 10 11 12 13 14 15 14 12 12 12 12 12 12 11 11 11 11 11 10 9 8 8 9 9 9 10 11 11 12 12 13 13 13 12 10 8 8 8 9 9 9 9 9 9 8 8 8 9 10 13 16 19 22 24 24 21 17 14 12 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 8 nan
nan 8 9 10 9 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 7 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 8 6 6 6 6 6 7 7 8 8 9 10 12 13 14 15 15 15 14 14 14 13 12 10 9 10 10 11 11 10 9 9 8 9 9 10 10 9 9 10 12 14 14 13 11 8 6 7 8 9 9 9 10 11 11 11 9 8 9 9 10 11 13 17 21 24 24 22 19 16 14 14 13 12 11 11 10 10 11 10 10 10 9 9 8 8 8 8 8 8 8 8 nan
nan 8 9 9 9 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 7 7 8 8 9 9 9 9 7 6 5 5 6 6 7 7 7 8 9 10 11 11 12 12 13 14 15 16 15 13 11 9 9 9 10 11 11 10 9 8 8 8 9 9 8 7 7 8 10 12 13 12 10 8 7 8 9 9 10 11 12 14 14 12 9 7 7 8 8 9 10 11 14 18 22 23 23 21 21 21 20 18 14 11 9 10 10 10 10 9 9 9 8 8 8 7 7 7 7 7 nan
nan 7 7 8 8 8 8 9 8 8 7 8 8 8 7 8 8 8 9 9 9 9 9 8 7 6 7 6 6 6 7 7 8 8 8 8 8 8 9 8 9 8 6 6 6 6 7 7 8 8 8 9 10 10 9 9 9 10 12 14 15 16 14 12 10 10 10 10 10 11 11 10 9 8 8 8 9 9 8 7 7 9 10 10 10 10 10 10 11 11 11 11 12 12 14 14 13 10 8 8 8 8 9 9 9 10 11 14 17 20 22 24 24 24 24 21 16 11 9 10 10 10 10 9 9 9 9 8 8 7 7 7 7 7 nan
nan 7 7 7 7 8 9 9 9 8 7 7 8 8 8 8 8 8 9 9 9 9 8 8 7 7 7 6 6 6 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 9 9 8 7 8 8 9 11 13 14 13 10 9 9 10 10 11 11 12 11 10 9 9 8 9 9 8 8 8 9 10 10 10 9 10 11 12 14 14 13 13 13 13 13 12 11 9 10 10 11 11 11 10 11 13 14 14 14 15 16 18 19 19 16 12 8 7 9 10 10 10 10 9 9 9 9 9 8 8 8 7 7 7 nan
nan 7 6 6 7 8 9 10 10 9 7 7 7 7 8 8 8 9 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 8 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 7 6 6 7 7 9 10 11 11 8 6 7 8 10 12 12 12 12 12 11 10 9 9 8 7 7 8 9 11 11 10 10 10 10 11 12 13 14 14 14 14 14 13 11 10 10 12 13 13 13 12 12 13 15 16 16 14 13 12 13 13 12 7 1 -0 4 8 10 10 10 10 10 10 10 10 9 9 8 8 8 8 7 nan
nan 7 7 7 7 8 9 10 10 10 8 6 6 7 8 9 9 9 9 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 8 7 7 8 9 8 7 6 6 6 6 7 7 7 8 8 7 5 5 7 9 11 13 13 12 12 11 10 9 9 8 7 6 7 9 11 11 11 10 10 11 11 11 11 11 11 12 13 13 13 12 11 11 12 12 12 11 11 11 13 15 16 17 16 15 13 12 12 11 8 3 -1 -0 5 9 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 nan
nan 7 7 7 7 8 8 9 10 10 8 6 6 7 8 8 8 8 9 8 8 8 7 7 8 8 8 8 7 6 6 6 6 6 6 6 7 8 9 9 10 10 10 10 8 7 6 8 8 7 7 6 6 7 7 7 7 6 6 6 5 5 6 8 10 12 13 13 12 11 9 8 8 8 8 8 8 10 11 11 10 10 11 12 11 11 11 10 9 10 10 10 10 10 10 10 11 11 11 11 10 9 10 12 15 17 18 17 16 14 13 11 8 4 1 1 6 11 14 14 12 11 11 11 11 11 10 10 10 10 9 9 9 8 nan
nan 8 7 7 7 8 8 9 9 9 8 7 7 7 7 8 7 8 8 8 8 8 8 8 8 8 9 8 7 6 6 7 6 5 5 6 6 7 8 9 9 10 11 10 9 7 6 7 7 7 7 6 7 7 7 6 5 5 5 5 5 6 7 9 11 13 13 13 12 10 9 8 8 9 10 10 10 10 10 8 9 10 12 12 12 11 10 9 9 8 8 8 8 8 9 9 10 11 10 10 10 10 10 11 13 16 17 17 15 14 13 11 8 5 5 10 17 22 22 19 16 13 12 11 10 10 11 11 11 11 10 9 9 8 nan
nan 8 7 7 7 8 9 9 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 7 7 7 7 5 5 4 5 5 6 7 8 9 10 11 11 10 8 7 7 7 7 6 6 6 6 5 5 4 4 5 5 6 7 8 9 10 11 12 12 11 10 10 10 12 13 13 12 10 8 7 7 9 11 12 12 10 9 9 8 8 8 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 13 14 15 14 13 13 11 11 11 14 20 26 27 25 22 20 18 15 12 10 11 12 12 12 11 11 10 9 8 nan
nan 8 7 7 8 8 9 9 8 8 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 10 10 8 7 8 8 6 4 4 4 5 6 7 8 9 10 11 12 11 9 8 8 8 8 6 5 5 5 5 4 4 5 5 6 6 7 9 9 9 9 10 11 11 12 12 13 14 15 14 12 9 6 6 8 10 10 10 9 8 8 7 7 8 9 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 11 12 13 13 13 13 13 14 15 18 21 22 21 20 20 21 20 16 13 12 12 13 13 12 12 11 10 9 9 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 8 8 8 8 7 8 9 10 9 7 7 8 8 7 6 5 4 5 6 7 8 9 10 11 12 11 11 10 11 10 9 6 5 5 5 5 5 5 5 5 5 6 7 8 8 7 8 9 10 12 13 14 14 14 14 13 11 8 6 7 9 10 8 7 6 7 7 6 7 9 10 10 10 10 9 9 9 10 11 12 12 12 12 12 12 12 10 10 11 12 13 14 14 14 14 15 16 16 14 14 15 17 17 15 13 14 15 14 14 13 11 10 10 10 10 nan
nan 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 7 6 6 8 9 10 9 6 5 6 6 7 7 8 8 10 11 11 11 12 13 12 10 7 7 7 7 6 6 5 6 5 5 6 7 8 7 7 7 8 10 12 13 14 14 14 14 12 10 8 7 8 10 9 7 6 7 7 6 5 7 8 9 9 9 9 9 10 11 12 13 13 13 13 13 12 12 12 11 10 11 12 14 15 14 12 12 13 14 14 12 10 10 11 12 11 12 16 16 16 14 12 11 11 11 11 11 nan
nan 9 9 9 8 8 7 8 8 8 7 7 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 7 7 7 7 9 10 9 8 7 6 6 5 6 6 7 8 9 10 11 12 13 12 9 8 8 7 7 6 5 5 5 5 5 5 6 7 7 7 7 8 9 11 12 13 14 14 13 12 11 9 9 10 11 10 8 9 10 9 7 7 7 7 8 8 9 9 10 11 13 13 12 12 12 13 13 12 11 11 10 11 11 12 13 13 11 10 9 11 12 10 7 5 6 7 7 7 12 16 17 17 15 14 13 13 14 14 13 nan
nan 9 9 9 8 8 7 8 8 8 7 7 7 8 8 7 7 6 7 7 8 7 7 7 8 8 8 8 8 7 8 8 9 9 9 8 7 5 5 5 6 7 8 8 9 10 11 12 11 10 9 7 6 6 5 4 4 4 4 4 4 5 5 6 7 7 7 8 9 11 11 12 12 12 12 11 10 11 12 12 11 11 12 13 12 11 10 10 8 8 9 9 10 11 12 12 11 9 10 11 11 11 11 10 9 9 10 12 12 11 10 8 7 6 7 7 3 1 1 5 7 7 9 14 16 18 18 18 18 18 17 16 15 13 nan
nan 9 9 9 9 8 7 8 8 8 8 7 7 7 7 7 7 7 8 8 7 6 7 8 8 9 9 8 8 9 9 9 9 9 10 9 7 5 5 6 7 7 7 7 7 8 10 11 11 11 9 7 7 6 6 5 5 5 6 5 4 4 5 6 7 7 7 7 8 8 9 9 10 10 10 10 11 12 13 13 13 13 15 15 15 14 13 11 10 10 10 9 10 11 12 11 9 8 8 9 10 10 9 8 8 8 10 11 11 9 7 5 5 5 5 3 1 0 2 7 9 8 9 12 14 17 19 21 22 22 21 19 17 14 nan
nan 9 9 9 9 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 6 6 7 8 8 9 9 9 9 10 10 9 9 9 9 9 7 6 6 7 7 7 7 7 7 7 9 9 9 8 8 8 8 9 9 9 9 10 11 10 8 7 7 7 7 7 7 7 6 6 6 7 8 9 8 9 10 12 13 13 13 14 15 15 15 14 12 11 11 10 9 9 9 11 11 10 9 8 7 8 9 9 8 7 7 9 10 10 9 7 6 5 4 5 5 4 4 4 6 8 6 4 4 6 9 14 19 23 25 25 23 21 18 15 nan
nan 8 8 9 9 9 8 8 8 9 9 8 7 7 7 7 8 9 9 8 6 6 6 7 7 8 8 8 9 9 9 8 8 8 9 8 7 7 7 7 7 7 7 6 7 7 7 8 8 7 7 8 9 9 10 11 12 13 13 12 12 12 11 10 8 7 6 5 5 5 5 6 7 7 7 8 10 11 12 12 12 12 13 13 12 11 11 11 11 10 9 8 9 11 10 10 8 7 7 8 9 9 8 7 7 9 10 8 7 7 7 7 7 7 8 8 8 8 9 6 1 -1 -0 3 7 12 17 21 23 24 22 20 18 15 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
20 24 28 32 37 41 42 42 41 41 42 42 42 42 43 43 44 45 47 46 47 50 51 53 55 55 53 52 53 55 57 57 56 55 53 50 48 46 43 40 38 37 37 35 31 30 32 34 35 34 32 32 32 32 32 33 33 32 28 23 17 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 1 3 6 9 11 15 18 21 23 26 27 26 26 26 28 31 33 37 40 42 44 44 44 42 41 39 34 28 23 22 21 21 19 17 16 15 16 17 18 21 25 29 31 30 27 26 42 117 289
17 19 25 30 34 38 40 40 39 39 39 38 38 38 38 39 41 41 42 42 43 45 46 47 48 49 49 49 51 51 53 53 51 50 48 45 43 41 38 36 36 36 36 34 31 31 33 34 34 32 30 30 30 38 38 40 37 33 27 20 13 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 1 4 7 11 16 18 20 23 27 29 29 28 28 28 33 35 36 37 40 43 44 44 43 43 44 43 36 29 24 21 22 22 21 19 16 15 16 17 17 19 21 24 27 27 25 24 23 34 104
17 17 22 27 31 35 37 37 38 39 38 36 34 34 34 35 36 37 37 37 38 39 41 44 46 47 48 48 48 49 50 51 50 49 46 43 41 40 38 38 36 34 32 31 31 31 31 31 31 29 29 30 30 38 39 39 38 34 25 14 7 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 2 6 9 15 20 23 27 30 32 32 30 31 32 35 38 38 38 37 38 43 45 44 42 42 45 44 38 31 25 23 22 22 22 21 19 17 16 16 17 18 19 20 22 22 22 23 22 20 44
17 17 20 25 29 32 34 35 37 37 37 34 31 31 32 31 32 32 32 33 34 35 37 40 42 43 45 46 47 49 51 51 50 49 47 43 40 37 34 32 31 30 29 28 28 28 28 29 29 28 29 29 28 30 31 33 34 30 21 10 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 4 8 14 19 23 29 33 35 35 36 36 37 38 40 40 39 40 42 45 48 50 47 45 42 44 44 40 32 27 25 25 24 23 22 21 20 17 16 16 17 17 18 18 18 20 20 20 19 23
14 17 19 22 26 30 32 33 34 35 35 34 32 31 30 29 28 28 27 28 30 32 33 35 36 38 39 42 43 45 46 46 47 46 44 41 36 31 28 27 28 29 30 29 28 26 26 28 28 28 29 30 29 27 25 27 28 22 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 4 10 17 22 27 34 38 38 41 42 43 42 41 41 40 41 44 50 57 62 61 55 51 47 44 44 41 35 29 28 29 28 26 23 22 21 19 17 16 16 16 16 16 16 17 17 18 19 19
11 15 17 18 23 28 30 31 32 32 33 33 32 31 29 27 26 25 25 26 26 28 29 31 32 33 34 35 36 37 37 37 37 35 32 28 25 24 23 25 28 30 33 34 32 27 26 26 26 27 27 26 27 26 23 21 20 14 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 2 7 13 19 25 32 38 42 46 47 47 48 45 44 44 46 50 54 59 64 69 67 62 58 53 47 44 45 40 33 31 31 30 28 25 23 23 21 19 18 17 17 16 15 15 15 15 16 17 19
8 12 15 17 21 24 27 28 29 29 29 29 29 28 28 28 26 26 25 25 25 26 26 28 28 29 30 30 30 31 31 30 30 28 25 23 23 25 26 27 27 25 25 28 29 28 26 24 24 25 25 24 26 24 21 17 13 9 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 1 5 10 16 22 28 35 40 45 49 51 51 52 51 51 52 55 59 59 62 63 66 66 64 60 58 53 46 45 43 39 35 33 32 30 26 24 24 23 21 21 18 17 16 15 15 14 15 15 16 17
6 8 13 15 18 20 22 23 24 24 24 25 25 26 26 27 26 26 26 26 25 24 24 24 25 25 25 26 26 26 26 26 25 24 23 22 24 26 22 18 15 13 14 17 20 24 26 25 23 23 23 23 22 21 18 15 11 6 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 2 7 12 18 25 32 37 42 50 53 54 55 58 60 61 62 62 62 60 61 60 63 65 64 61 60 58 52 48 45 42 39 35 33 31 28 25 24 24 23 23 21 19 17 16 15 14 14 14 15 17
6 7 10 13 15 16 17 18 19 19 19 20 21 22 23 23 23 24 25 25 24 24 22 22 22 22 22 23 23 23 23 23 23 22 21 22 25 22 15 10 10 11 11 12 14 18 24 26 23 22 22 21 20 18 16 14 9 4 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 1 4 9 15 23 29 37 39 45 52 54 58 63 66 68 68 67 67 66 63 62 63 63 64 64 63 61 60 58 53 45 43 42 38 34 32 30 28 25 25 24 24 22 19 17 16 16 15 15 14 15 15
3 5 6 9 12 13 14 14 15 16 15 16 17 17 18 19 20 20 19 19 19 22 23 21 20 20 20 20 21 21 22 22 21 21 21 24 22 16 11 10 12 14 14 11 11 13 18 22 23 22 20 18 17 16 15 12 7 4 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 3 8 13 20 27 33 41 41 49 55 58 63 69 73 72 73 74 76 77 75 74 72 70 68 67 65 63 60 60 59 50 46 45 43 38 32 33 30 27 24 24 24 21 17 17 16 16 16 16 14 15 15
1 3 5 7 11 12 12 12 12 13 13 14 14 14 14 14 13 13 14 14 15 17 19 19 18 18 18 19 20 20 20 20 20 20 21 20 16 11 9 10 12 13 14 10 8 9 12 16 19 20 18 17 16 15 13 10 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 1 6 13 21 32 39 46 50 51 56 60 62 67 76 77 75 77 82 89 91 90 89 87 85 80 74 67 68 63 61 61 57 52 49 47 44 35 34 31 27 24 23 21 18 17 17 17 17 16 16 16 15 15
0 1 1 4 10 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 14 16 17 17 16 17 19 20 20 19 20 19 19 20 17 13 9 9 8 6 6 8 8 9 8 9 11 15 18 17 16 15 13 11 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 3 11 27 47 62 68 72 72 71 72 71 68 71 81 83 79 81 88 96 98 96 93 93 95 94 84 73 71 69 67 66 65 61 54 51 49 40 35 33 30 27 23 21 19 18 16 17 17 17 17 17 16 16
0 0 0 3 7 10 10 9 9 9 10 10 10 11 11 10 10 10 10 9 9 11 14 15 15 15 16 18 19 18 18 18 17 18 18 14 10 8 7 5 3 2 3 6 8 8 8 8 12 16 16 15 13 11 10 8 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 1 8 26 45 69 91 102 110 113 110 100 89 83 83 89 89 84 84 90 98 100 98 95 94 98 99 91 82 78 75 74 72 71 69 61 56 51 44 37 34 33 30 25 23 21 17 15 16 17 17 17 17 17 16
0 0 0 1 4 8 9 9 7 8 8 8 8 9 9 9 8 8 7 7 8 9 11 12 14 14 15 16 16 16 16 16 16 18 15 11 8 7 5 2 1 0 1 3 6 7 7 7 9 11 13 14 14 13 10 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 5 18 34 57 81 103 125 146 161 160 137 118 108 106 107 98 88 88 93 98 100 99 97 93 99 101 97 91 86 84 82 77 76 74 68 62 54 48 40 34 34 33 29 26 22 17 14 15 15 16 16 16 15 15
0 0 0 0 2 5 7 7 7 7 6 6 7 7 7 7 7 6 7 7 6 7 10 11 12 13 13 13 14 15 15 15 15 15 12 8 7 6 3 1 0 0 0 0 3 4 4 5 6 7 9 13 12 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 1 4 12 32 53 71 88 108 134 157 180 192 181 161 141 134 129 114 100 95 96 100 102 98 89 91 96 103 105 99 92 91 92 85 79 75 72 66 57 50 44 37 34 33 31 28 25 21 18 15 15 15 16 16 15 14
0 0 0 0 1 3 4 6 7 6 5 6 6 6 6 6 6 5 6 5 6 8 10 10 11 12 12 13 13 14 14 14 14 12 9 6 4 2 1 0 0 0 0 0 1 1 2 4 4 4 4 7 6 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 2 10 24 44 65 81 96 116 133 150 174 194 200 201 193 182 161 140 123 111 107 110 110 103 94 92 95 101 108 108 97 94 95 93 88 80 74 68 60 54 51 44 38 33 32 31 29 24 21 18 16 15 15 15 15 14
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