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 8 8 8 8 8 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 7 7 7 8 8 7 7 7 8 8 8 8 8 7 8 8 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 10 9 9 10 10 9 7 7 7 7 7 8 8 9 9 9 9 8 6 5 4 4 5 5 5 5 5 6 6 7 8 10 13 13 12 12 11 11 10 9 9 8 8 8 8 9 10 10 10 11 11 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 nan
nan 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 8 8 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 10 11 11 10 8 6 5 5 6 6 5 4 4 4 5 6 7 10 15 17 16 14 12 12 13 13 12 11 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 nan
nan 8 7 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 6 5 5 6 7 7 8 8 8 8 8 8 8 7 7 8 8 8 7 7 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 8 8 9 9 10 10 9 8 7 7 7 7 7 7 6 6 6 5 5 6 10 14 17 18 18 20 21 21 19 16 13 10 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 nan
nan 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 8 8 7 7 6 5 5 5 5 6 6 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 11 11 11 10 10 9 8 8 8 8 8 7 7 8 8 8 8 8 8 8 7 6 4 4 6 9 12 16 22 27 30 28 24 19 13 9 8 8 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 8 8 8 8 9 8 7 7 7 7 7 7 7 6 7 7 7 7 7 7 6 5 5 6 6 6 6 7 7 8 8 9 9 9 9 9 9 9 8 8 7 7 8 9 9 9 8 8 8 8 9 9 8 8 8 8 8 8 9 9 9 10 9 9 9 10 10 11 11 12 12 12 11 10 9 9 8 7 7 8 8 8 8 8 8 8 8 7 5 5 5 5 6 8 13 18 22 24 24 21 16 11 9 8 7 7 8 9 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 nan
nan 9 9 9 8 8 8 7 6 6 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 8 9 10 10 10 9 9 9 9 8 8 7 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 9 8 8 9 9 8 8 8 8 8 7 6 6 6 7 7 7 7 10 12 14 13 13 12 11 11 12 11 9 8 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 nan
nan 9 9 9 8 7 7 7 7 7 7 7 7 6 6 6 7 7 6 6 7 7 7 7 6 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 8 8 8 8 8 9 9 10 10 10 9 8 8 7 7 7 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 9 9 8 8 8 9 9 8 7 7 7 8 8 8 8 8 9 9 8 8 7 10 15 18 17 14 11 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 nan
nan 8 9 9 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 8 8 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 11 11 11 11 11 11 10 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 8 8 7 7 7 11 16 20 20 18 15 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 nan
nan 8 9 10 9 9 8 8 8 7 7 7 7 6 6 6 7 7 6 7 7 8 8 8 9 8 8 9 8 9 9 9 8 7 7 8 9 9 9 9 9 9 9 7 6 6 6 7 7 8 8 8 8 8 9 11 12 13 12 11 10 10 11 11 11 11 11 11 11 10 10 9 8 8 8 8 8 8 8 9 10 11 11 12 11 11 9 8 8 8 9 9 9 8 8 8 8 8 8 7 7 8 10 13 15 18 20 20 18 15 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 nan
nan 9 10 10 10 9 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 7 8 9 9 8 8 8 8 8 9 9 8 8 7 7 8 8 9 9 9 9 8 6 5 5 5 6 6 7 8 8 8 9 10 12 13 13 12 12 12 12 13 13 12 10 10 9 9 8 8 8 7 8 8 8 8 8 8 8 9 10 12 13 13 12 10 8 8 8 9 9 9 9 8 8 9 8 7 6 6 7 8 9 11 13 17 20 21 20 18 15 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 nan
nan 8 9 9 9 8 8 8 7 6 6 7 8 7 7 8 8 8 8 8 8 8 8 9 8 7 8 8 7 8 8 9 9 8 8 8 8 8 9 9 9 9 7 5 4 4 5 6 7 8 8 8 8 9 10 11 11 11 11 12 13 14 15 13 11 9 8 7 7 6 7 7 7 8 8 8 8 8 7 6 7 9 11 12 12 12 10 9 9 9 10 10 10 9 9 10 9 8 6 5 5 6 6 6 7 8 11 14 18 21 22 23 25 25 25 22 17 13 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 8 8 8 7 8 8 7 6 6 7 8 8 8 8 8 8 8 9 8 8 9 8 8 7 8 7 7 7 8 9 9 9 8 8 8 9 9 9 9 7 5 4 4 5 6 7 8 8 8 8 9 9 9 9 9 9 10 12 14 15 14 12 9 6 5 4 5 6 7 8 8 9 9 9 10 9 8 7 8 9 10 11 11 10 10 10 11 11 11 10 10 9 9 10 9 7 5 5 5 5 5 5 4 5 7 10 14 18 22 26 28 29 28 25 19 12 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 7 7 7 7 8 8 8 7 6 7 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 6 6 7 8 9 9 9 9 9 9 9 9 8 7 5 4 5 6 8 8 8 8 8 8 8 9 9 8 8 8 10 12 14 13 10 8 5 4 3 5 6 8 9 10 10 10 10 11 10 9 9 9 10 10 10 10 10 10 10 11 12 12 11 11 10 9 9 8 7 6 6 6 6 6 5 4 4 6 7 9 10 12 15 18 20 20 18 14 9 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 7 6 6 7 8 8 9 9 8 7 6 7 7 8 8 8 8 8 9 9 9 9 9 9 9 8 7 6 6 7 7 8 8 8 9 9 9 8 8 8 7 6 6 7 8 8 8 7 7 6 6 7 8 8 7 7 8 10 11 12 9 7 5 4 4 5 7 8 9 10 10 10 10 10 10 9 9 10 11 11 11 10 9 10 10 11 11 12 12 11 11 11 10 9 8 7 7 8 8 8 7 6 5 6 7 7 8 8 9 10 11 12 11 7 2 0 4 7 9 9 9 10 9 9 9 9 10 10 10 10 10 10 10 nan
nan 7 6 6 7 7 8 9 9 9 8 6 6 7 8 8 7 7 8 9 9 9 9 9 9 9 8 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 7 7 8 8 8 6 5 5 5 6 7 8 7 7 7 7 9 9 8 6 5 4 5 6 7 8 9 9 9 9 9 9 9 9 8 9 11 12 12 11 10 10 10 10 10 10 9 10 10 11 11 11 10 9 8 8 9 9 8 7 7 7 7 7 7 7 8 8 9 10 9 7 4 1 3 8 11 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 7 7 6 6 7 7 9 9 10 8 7 6 6 7 7 7 7 9 9 9 9 9 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 8 8 8 9 9 9 9 8 7 5 4 4 5 6 7 8 7 6 6 6 7 7 6 5 5 5 6 8 9 9 9 9 8 7 7 7 8 9 10 11 12 12 12 11 11 11 11 11 9 8 8 8 9 9 9 9 9 8 8 9 9 9 9 8 9 9 9 8 7 7 7 8 9 9 7 5 4 6 12 17 19 17 15 13 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 7 6 6 6 7 8 8 9 9 8 7 7 6 7 7 7 8 9 9 9 9 9 8 8 8 8 8 7 6 6 7 6 5 5 6 6 7 7 8 9 9 10 10 9 8 7 5 5 5 6 7 8 8 7 5 5 6 6 7 7 6 6 7 8 9 10 10 10 9 7 7 7 8 9 10 11 12 11 10 10 12 13 13 11 10 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 9 8 7 6 6 7 7 7 6 5 8 15 23 27 27 23 20 17 15 13 12 12 12 11 11 11 11 11 11 11 nan
nan 7 6 6 6 7 8 8 8 8 8 8 7 6 6 7 7 8 8 8 9 9 8 8 8 9 9 9 7 6 7 8 6 5 5 5 5 6 6 7 9 10 11 11 10 9 8 6 6 6 6 6 7 7 6 4 5 6 7 7 7 7 7 8 8 9 9 10 9 9 9 10 10 11 11 11 10 9 9 9 11 13 14 12 11 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 9 14 22 28 30 27 25 23 21 17 14 12 12 12 11 11 11 11 11 11 11 nan
nan 7 6 6 7 8 8 8 8 8 8 8 7 6 6 7 7 7 8 8 9 9 8 8 9 9 10 9 7 7 9 9 7 5 5 5 5 5 6 7 8 10 11 11 11 10 8 7 7 6 6 5 6 6 5 5 5 6 7 7 7 7 8 8 8 7 8 8 8 9 11 12 12 12 11 10 8 7 8 10 12 13 12 10 9 9 9 9 10 11 11 12 12 13 12 11 9 8 8 7 7 8 8 8 8 8 8 7 6 6 6 7 8 10 14 18 20 20 20 21 23 21 18 14 12 11 11 11 11 11 11 11 11 11 nan
nan 8 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 9 9 9 7 7 9 9 8 6 5 5 5 6 6 7 8 9 10 11 11 9 8 9 9 9 8 7 8 7 7 6 6 6 7 7 7 8 8 8 6 6 6 7 8 10 11 11 11 11 10 8 7 6 9 11 11 10 8 7 8 9 9 9 10 11 12 12 12 12 11 9 8 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 12 14 16 17 15 12 11 10 10 10 10 10 10 10 10 10 nan
nan 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 7 7 8 8 9 9 8 8 8 8 9 8 7 7 8 9 10 8 6 6 6 6 6 7 7 8 9 10 10 9 9 10 12 12 10 10 11 10 9 8 7 7 7 7 7 7 7 7 6 6 6 7 8 10 10 11 11 10 8 6 5 6 10 11 10 8 6 7 8 7 7 8 9 10 10 10 10 10 10 10 11 11 10 9 9 10 9 9 10 10 10 9 9 10 10 10 9 8 7 6 6 5 4 4 5 7 7 7 8 8 8 8 8 9 9 9 9 9 nan
nan 8 8 8 8 8 7 7 8 7 6 6 7 7 8 8 7 7 7 8 8 8 8 9 8 8 8 7 7 6 7 9 9 9 8 7 7 6 5 5 6 7 8 9 9 9 9 11 13 12 10 10 11 11 10 9 8 7 7 6 5 5 6 6 6 6 6 7 8 9 10 10 10 9 8 6 6 8 10 11 9 8 8 9 9 8 8 8 9 9 9 9 9 10 11 13 14 13 12 12 12 11 11 11 11 11 10 10 10 11 11 10 9 9 9 7 4 -0 -4 -6 -6 -5 -4 1 4 6 7 7 8 8 9 9 9 10 nan
nan 8 8 8 8 7 7 7 8 7 6 6 6 7 8 8 8 8 8 8 8 7 8 9 8 8 7 7 6 6 7 8 8 8 9 9 7 5 5 6 7 7 8 8 8 8 9 11 12 10 9 8 8 9 9 8 8 7 6 4 3 3 4 5 6 6 6 6 8 9 9 9 9 8 7 6 7 9 11 11 10 9 11 11 11 11 11 11 10 10 10 10 10 10 12 13 13 12 12 12 13 13 12 12 11 10 9 10 11 12 11 10 9 9 10 8 4 -1 -5 -6 -7 -6 -4 1 5 7 7 8 9 9 10 10 10 10 nan
nan 8 8 8 8 8 7 8 8 8 7 7 6 7 8 8 8 8 8 8 7 7 8 9 8 8 7 7 7 7 8 8 8 9 10 10 7 6 6 7 8 8 8 7 7 7 8 9 10 9 9 8 8 8 7 7 8 7 6 3 1 1 3 5 6 6 6 6 7 8 7 7 7 7 7 7 8 10 11 11 10 11 12 13 14 13 12 11 12 13 12 11 10 10 11 11 10 11 12 13 13 13 13 13 12 11 10 11 12 11 9 8 8 8 7 7 6 5 6 7 6 5 6 7 8 9 10 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 9 9 8 6 7 8 8 8 8 8 8 8 9 8 8 8 9 10 9 7 6 7 7 8 8 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 9 7 5 4 4 5 6 6 6 6 6 6 6 6 6 6 6 7 8 10 10 10 9 11 13 14 14 12 10 10 12 13 13 11 10 10 10 9 10 11 12 12 12 13 13 12 12 12 13 12 11 9 8 8 8 8 7 8 10 12 15 18 16 13 11 11 11 12 13 13 13 13 13 13 13 12 nan
nan 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 7 8 9 8 8 7 7 7 8 8 7 7 7 7 7 7 7 7 8 9 10 10 11 11 12 12 12 12 11 10 9 8 8 7 6 6 5 5 5 5 6 6 6 7 8 9 9 8 9 11 12 13 11 9 7 9 11 12 12 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 11 10 8 8 9 11 11 11 11 13 14 16 17 14 11 10 11 12 14 15 16 17 17 16 16 15 14 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
11 13 16 21 24 27 30 33 34 36 38 39 39 39 40 40 41 43 43 45 46 47 50 54 58 59 59 61 62 61 61 61 62 61 59 57 55 53 49 47 45 44 43 42 41 38 37 36 35 34 33 32 32 31 32 32 30 28 26 23 20 16 10 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 2 4 8 9 14 18 20 24 29 32 35 37 37 38 37 37 38 39 39 37 34 30 26 24 22 22 21 17 16 17 17 17 16 15 16 14 12 11 11 13 14 17 20 23 25 28 28
10 11 14 20 24 26 30 32 33 36 38 39 40 41 41 42 43 42 42 43 44 46 47 50 53 54 57 59 60 57 58 60 62 61 60 57 54 51 49 47 43 41 40 37 35 34 33 32 32 32 32 29 28 28 30 29 27 25 24 22 18 13 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 1 3 6 9 13 17 20 22 27 32 34 36 37 39 40 40 38 38 41 43 44 41 36 30 28 25 24 22 20 19 18 16 17 16 14 15 14 12 11 11 12 13 15 18 21 24 26 27
10 10 13 19 24 28 31 33 34 36 37 38 40 41 40 41 41 41 43 43 43 44 46 48 50 52 56 57 58 55 56 57 59 60 58 56 52 48 44 40 39 36 34 33 33 33 33 33 34 35 34 32 31 30 30 29 27 25 23 20 16 11 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 2 4 8 12 17 20 22 26 31 36 36 39 42 45 47 46 45 43 43 44 46 47 41 36 31 29 27 24 23 21 20 18 17 16 15 14 14 13 13 13 13 13 14 17 19 22 24 27
8 10 12 18 23 28 32 35 37 37 37 38 39 40 40 40 40 40 41 42 44 44 44 45 47 49 53 57 57 57 55 54 56 57 57 55 50 45 41 38 37 35 35 35 34 33 34 36 37 38 37 35 33 30 29 27 26 24 21 17 11 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 1 3 7 11 15 20 23 25 29 36 39 41 45 49 52 55 55 53 51 47 44 45 49 46 41 36 32 30 27 25 24 22 20 17 16 15 14 14 14 15 14 14 13 14 16 18 21 24 28
10 11 12 15 22 27 31 35 38 38 38 38 39 40 41 42 42 41 40 40 41 43 44 45 46 47 51 54 55 56 55 53 54 55 56 54 49 46 44 42 39 36 35 34 32 31 31 31 32 34 36 36 34 31 27 25 24 22 18 15 8 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 5 9 14 18 23 25 30 36 39 41 47 51 54 57 60 59 57 56 52 47 45 49 49 46 41 36 33 32 29 26 23 20 18 18 16 15 14 15 15 15 16 14 13 15 17 20 23 26
11 12 11 13 21 25 30 33 36 38 38 39 40 42 44 45 45 43 41 40 40 41 42 43 45 46 49 50 51 51 52 52 51 50 47 46 47 46 42 39 37 34 30 28 26 25 24 25 27 31 34 36 35 32 28 25 23 20 17 13 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 3 7 12 16 21 25 29 34 40 43 46 51 55 58 60 62 62 61 61 60 56 53 52 51 48 44 40 35 34 31 28 24 21 19 18 17 16 15 15 16 16 15 14 14 14 17 21 23 26
7 9 10 12 20 24 29 32 33 35 37 38 39 41 43 43 45 44 42 41 42 41 40 40 42 44 47 47 48 48 47 47 46 46 46 46 44 42 39 35 31 27 25 23 22 22 22 22 24 27 31 33 33 32 29 25 22 19 16 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 1 4 9 14 19 25 27 33 39 45 47 52 56 59 60 62 64 66 68 67 68 67 65 62 59 53 48 46 42 37 33 31 28 23 20 19 18 18 17 17 17 16 16 15 15 15 17 22 28 29
4 6 10 12 18 23 26 29 30 31 32 34 35 34 36 37 40 40 40 40 40 39 38 39 39 41 43 45 45 46 45 44 43 44 44 45 42 38 33 28 24 23 22 23 25 25 23 22 23 25 28 30 31 30 28 25 21 17 14 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 2 6 11 16 22 27 30 38 44 47 50 54 58 61 63 68 74 77 78 79 78 75 73 72 70 65 58 51 46 43 38 34 31 26 22 20 19 19 18 18 17 16 15 15 16 16 16 23 30 31
2 4 9 12 17 22 24 26 27 27 27 27 28 28 30 31 31 32 33 34 34 34 34 37 38 38 39 40 41 42 42 40 39 39 38 36 35 32 28 26 24 22 22 25 29 30 23 21 22 24 25 26 28 29 28 24 21 15 12 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 1 5 9 13 19 25 28 35 43 47 49 52 56 61 63 67 77 85 88 90 90 88 84 80 78 77 75 68 60 53 49 42 37 34 30 25 21 20 21 20 19 18 17 15 15 17 19 19 23 27 26
2 3 6 10 16 19 21 23 24 24 24 24 25 26 27 27 27 28 28 28 29 28 27 33 35 35 35 36 37 36 35 34 33 32 30 29 27 25 24 22 22 22 21 22 27 29 24 21 21 22 23 24 25 27 26 22 18 12 7 4 2 1 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 16 23 27 31 39 46 49 49 52 59 63 65 71 81 90 95 98 99 99 94 87 82 79 78 74 67 60 53 47 42 38 33 29 25 22 21 21 21 19 18 16 15 16 19 22 22 22 22
1 2 3 6 12 17 19 20 20 21 22 22 23 24 24 24 22 21 22 21 23 25 24 25 29 32 33 35 35 33 31 30 28 26 25 24 23 22 22 22 21 19 17 16 18 22 23 21 20 21 21 22 22 24 21 18 13 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 2 6 10 15 23 26 29 35 43 48 51 52 55 62 65 67 74 81 89 98 100 101 103 98 91 86 83 78 77 75 69 62 54 48 45 37 33 29 25 23 22 22 20 19 17 15 16 17 21 22 21 21
0 1 1 4 8 13 16 16 16 17 18 19 20 19 19 20 20 18 18 17 18 18 17 19 21 24 28 30 30 29 29 28 25 23 22 22 22 22 21 19 16 12 11 11 14 17 21 21 19 18 19 20 19 18 16 13 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 1 3 7 11 17 22 27 29 34 40 47 52 54 55 59 66 68 71 77 81 86 92 94 95 100 103 96 89 85 81 80 78 75 70 64 57 53 46 40 33 29 25 23 23 22 21 19 16 16 16 18 19 20 20
0 0 0 3 6 8 9 10 11 10 11 12 11 10 11 13 16 17 16 17 17 16 14 14 16 18 20 21 20 21 23 24 23 23 22 23 22 20 16 13 10 9 10 10 11 13 16 19 19 17 16 17 17 15 12 9 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 8 13 16 22 26 29 34 40 45 49 53 57 60 66 68 70 73 78 81 84 88 90 89 93 100 98 92 89 87 86 82 78 77 73 67 61 53 46 39 34 30 26 25 23 23 21 17 16 15 15 17 18 17
0 0 0 2 3 5 6 6 6 6 7 7 7 7 7 8 10 11 12 14 13 14 14 12 13 14 15 15 15 15 16 16 16 17 17 15 13 12 10 9 9 10 11 8 8 9 11 15 17 16 15 15 15 13 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 1 5 10 14 18 22 28 32 37 41 46 48 49 55 61 66 72 72 71 72 76 79 82 87 92 85 86 91 92 92 93 95 96 91 85 82 79 75 69 62 54 48 41 35 29 28 26 24 23 20 18 17 15 15 17 17
0 0 0 0 1 4 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 11 11 11 11 12 12 12 13 13 13 12 13 12 11 9 9 8 7 5 6 7 6 7 8 9 12 15 16 14 14 12 10 8 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 11 19 24 29 35 38 41 44 48 51 53 56 61 66 71 75 76 75 74 76 78 82 88 91 85 83 82 84 88 94 101 103 100 97 91 86 82 77 71 63 55 47 39 30 30 29 28 26 22 20 19 16 16 16 19
0 0 0 0 0 2 3 5 5 5 5 6 6 6 5 5 5 6 6 5 5 6 7 8 9 10 10 10 10 11 11 11 11 11 10 9 8 7 6 4 1 0 2 3 5 7 8 9 12 16 14 12 10 8 6 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 19 26 31 37 42 48 51 54 56 58 60 65 68 70 73 74 74 74 75 77 80 83 87 88 85 81 80 82 85 91 101 109 109 106 102 98 92 84 77 70 62 51 44 35 32 31 30 28 25 23 22 19 18 17 20
0 0 0 0 0 0 1 2 3 3 3 3 3 4 4 3 4 5 5 5 5 5 5 7 8 9 9 9 9 9 9 9 9 8 8 7 6 4 2 1 0 0 0 1 3 5 6 5 8 10 12 11 9 6 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 15 23 29 38 48 55 59 62 64 65 65 67 70 71 71 70 69 69 70 73 76 84 85 85 84 83 81 82 84 86 92 101 106 110 109 107 106 101 93 83 77 69 58 51 43 37 33 31 31 30 27 25 22 20 20 22
0 0 0 0 0 0 0 0 0 1 1 1 1 1 2 3 3 3 3 3 3 3 4 6 8 8 8 8 8 8 8 8 8 8 8 6 4 2 0 0 0 0 0 0 1 3 4 4 5 6 8 8 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 3 10 20 25 33 43 53 60 65 69 71 71 71 73 75 75 72 70 69 67 68 73 77 85 87 84 82 82 84 87 91 92 98 106 109 108 107 107 107 106 103 92 82 73 62 54 48 42 37 32 32 32 30 28 23 21 22 25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 2 3 3 5 7 7 7 7 7 7 7 7 7 7 6 4 2 0 0 0 0 0 0 0 0 0 1 2 3 4 3 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 1 5 14 23 28 37 47 57 66 71 73 76 78 79 80 80 78 76 74 72 70 71 77 82 86 86 82 82 85 88 94 98 102 108 111 111 108 108 109 108 105 110 102 90 79 70 62 54 47 42 38 34 33 32 30 26 23 24 25
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 3 4 6 6 6 6 6 6 6 6 5 4 4 2 0 0 0 0 0 0 0 0 0 0 0 1 3 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 0 2 7 16 24 30 38 49 60 69 73 75 82 89 91 90 89 87 84 81 80 79 79 83 88 89 86 83 82 86 93 100 103 110 116 116 111 108 110 112 114 108 113 111 103 92 82 72 62 52 47 43 40 37 35 32 29 27 24 23
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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 3 4 4 4 3 3 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 1 4 11 20 27 34 40 47 59 69 75 80 90 100 106 109 111 109 107 104 103 101 100 100 98 93 88 88 93 100 103 109 114 118 123 127 133 129 113 116 121 125 127 123 118 113 102 91 81 72 60 53 50 47 42 38 35 31 28 26
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 1 2 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 6 13 21 29 35 42 50 60 70 75 80 91 102 109 111 113 115 116 115 114 112 109 106 102 97 92 90 96 102 108 114 119 125 128 122 131 137 129 125 123 129 133 127 120 117 112 104 92 82 71 62 55 49 45 41 39 34 30 28
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 18 26 31 37 44 53 63 72 76 83 94 106 114 117 119 127 132 135 135 133 129 123 120 115 107 107 110 112 115 121 126 126 138 139 132 127 132 137 135 131 126 122 117 121 118 117 113 106 97 86 71 59 52 46 44 41 37 33
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 20 28 33 37 47 54 64 72 78 85 97 112 123 127 140 152 159 161 161 160 156 149 145 139 129 123 124 125 124 127 132 130 133 142 140 132 133 139 140 138 135 143 129 123 118 116 116 112 106 95 83 70 59 51 47 44 41 37
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 20 28 33 37 47 55 64 72 80 91 106 126 140 155 175 189 197 199 200 201 195 188 184 175 162 147 143 144 139 138 142 137 130 142 146 141 138 139 141 142 145 156 150 137 124 117 118 116 112 104 92 80 72 64 56 51 47 41
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 28 32 38 45 53 62 72 87 108 128 152 181 213 233 243 242 241 252 255 250 243 233 220 202 184 175 171 161 152 156 149 140 142 145 143 143 143 146 145 147 152 154 149 138 126 122 120 119 112 102 91 84 78 69 61 54 44
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 7 12 17 25 32 37 43 50 60 80 117 147 164 188 215 245 267 284 303 315 318 320 320 308 292 275 255 235 218 204 186 172 171 163 154 149 146 145 146 148 154 152 151 152 155 160 159 146 131 123 123 124 117 104 96 87 79 68 61 51
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 11 15 22 29 36 41 49 64 96 138 164 188 209 225 244 263 281 304 322 341 359 374 360 338 323 311 295 272 243 214 197 188 177 166 158 153 150 150 153 159 160 159 160 160 164 167 157 142 126 121 123 121 114 107 97 87 75 67 60
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