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 10 9 9 10 11 12 13 14 14 12 11 11 11 10 10 10 10 11 11 11 11 10 9 9 8 8 7 8 8 9 10 10 11 12 14 16 16 16 15 14 14 13 12 12 12 11 9 9 8 8 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 10 10 11 11 11 11 11 10 10 11 11 11 11 11 10 9 8 7 6 6 6 5 5 5 6 nan
nan 10 10 10 10 10 10 11 12 12 11 10 10 10 10 11 11 11 12 12 11 11 10 10 10 10 8 8 8 8 8 10 10 11 12 14 15 16 15 14 13 13 12 12 12 12 12 11 11 11 10 10 9 8 8 8 7 7 8 8 8 8 8 9 9 10 11 12 12 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 12 11 10 11 12 12 12 11 11 9 8 7 6 6 6 6 6 6 6 6 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 10 11 13 13 13 13 12 11 10 10 11 11 11 9 9 8 7 7 8 9 9 10 11 13 14 14 13 12 11 10 10 10 11 12 12 12 12 11 11 10 9 9 8 8 8 7 8 8 8 8 8 8 8 9 10 11 12 12 12 12 13 12 12 12 13 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 11 11 12 13 13 12 11 10 9 8 7 7 6 6 6 6 7 7 7 nan
nan 9 9 9 8 8 9 8 8 8 8 9 9 11 12 14 14 14 13 11 10 10 10 11 11 11 10 9 8 8 8 8 8 8 8 9 11 12 12 12 10 9 8 8 8 9 10 11 11 11 10 10 9 9 9 9 8 8 7 7 7 7 8 8 8 8 8 9 10 11 11 12 12 13 13 13 13 13 12 12 13 13 13 13 12 12 12 12 11 12 12 12 12 11 11 12 13 13 12 10 9 8 8 7 7 7 7 7 7 7 8 8 nan
nan 8 8 9 9 9 10 9 10 10 10 10 11 12 13 14 15 14 13 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 7 8 9 10 11 11 9 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 10 11 11 12 13 13 13 14 13 13 13 13 12 13 13 13 12 12 12 11 11 11 12 12 12 12 12 13 12 11 9 8 8 8 7 8 8 8 8 8 8 8 9 nan
nan 9 9 9 9 9 10 10 11 11 12 11 12 13 14 15 15 14 12 11 11 12 11 10 8 8 7 8 8 8 9 10 10 9 8 8 8 9 11 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 12 12 14 14 14 13 13 12 11 12 12 12 12 11 11 10 10 11 12 12 12 12 12 12 12 10 8 7 7 8 8 8 8 8 8 9 9 9 9 nan
nan 10 9 9 9 9 9 10 11 11 11 11 11 12 13 14 14 13 12 12 12 11 9 8 7 7 7 8 9 10 11 11 11 11 11 11 11 12 13 14 13 12 11 11 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 10 10 11 11 11 11 12 14 14 14 14 12 11 11 11 11 11 11 10 10 10 10 11 12 12 13 12 12 12 11 10 8 8 8 9 9 9 9 9 9 9 10 10 10 nan
nan 10 10 9 9 9 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 9 7 7 7 8 9 11 12 12 13 13 12 12 12 13 13 14 15 16 16 16 15 15 14 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 12 13 13 14 14 12 11 10 10 9 9 10 10 10 10 10 11 11 12 12 11 11 11 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 9 8 8 9 11 12 13 13 13 13 13 13 13 13 14 14 15 16 16 16 17 18 18 19 19 18 17 16 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 13 12 11 11 10 9 9 10 9 9 9 10 10 10 11 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 nan
nan 9 9 9 9 10 10 10 10 10 11 12 12 12 12 11 11 11 11 10 9 9 10 10 11 12 13 13 13 12 12 12 13 13 13 14 15 15 16 16 16 17 17 18 19 20 21 21 21 20 19 16 13 11 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 13 13 12 12 12 11 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 nan
nan 8 8 9 10 10 10 10 10 10 11 12 12 12 12 11 12 11 10 10 9 9 10 11 12 12 12 12 11 11 11 12 12 12 13 13 14 16 16 17 17 17 17 17 17 17 17 18 20 21 21 19 16 13 13 11 10 9 8 8 8 8 9 9 9 10 10 10 11 10 10 10 11 11 11 12 13 13 13 14 14 15 14 14 14 13 11 9 9 8 8 8 8 8 8 9 10 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 nan
nan 9 9 9 10 10 10 10 10 10 11 12 13 12 12 12 12 12 11 10 9 9 10 11 12 12 11 11 10 10 11 11 12 12 12 13 13 14 15 16 16 17 17 17 16 15 15 15 18 20 20 18 16 16 17 15 12 10 8 7 7 7 7 7 7 7 8 9 9 10 11 11 11 11 11 12 12 13 13 14 15 15 15 15 14 12 11 11 10 9 9 9 8 8 9 9 10 11 12 12 12 12 12 11 10 10 11 11 11 11 11 10 nan
nan 10 9 10 10 10 10 10 10 10 11 12 14 13 12 12 13 12 11 10 9 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 12 12 12 13 14 15 16 17 17 17 17 17 19 21 20 17 17 19 21 21 18 14 11 9 7 6 5 5 4 4 5 6 7 8 9 11 11 12 12 12 13 13 14 14 14 15 15 15 14 13 12 12 12 11 11 10 9 9 10 10 11 11 11 12 12 11 11 11 10 11 12 12 12 12 11 10 nan
nan 11 10 10 10 9 10 10 10 11 12 13 14 13 13 13 12 12 11 10 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 10 11 11 12 13 14 16 17 17 18 20 20 19 17 18 22 24 24 23 21 18 15 13 11 9 7 5 4 4 6 8 8 8 8 10 11 12 12 13 14 15 15 15 15 15 15 15 15 15 15 15 14 14 14 13 12 12 12 12 11 11 11 11 11 10 10 11 12 13 13 13 12 11 10 nan
nan 12 12 12 11 11 11 11 11 11 13 14 14 13 13 13 13 12 11 11 11 11 10 10 10 10 11 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 11 11 12 13 14 15 16 16 16 16 18 20 22 24 24 24 24 24 22 20 18 15 11 8 8 11 13 13 10 8 8 9 11 12 13 14 15 16 16 16 16 17 17 18 18 18 19 18 18 19 18 17 16 15 14 13 11 10 10 10 10 11 12 13 13 13 12 11 10 9 nan
nan 14 14 14 14 14 13 13 12 12 14 15 14 14 13 14 14 12 12 12 12 11 11 10 9 9 10 11 11 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 14 15 16 18 19 20 22 24 27 27 26 25 22 18 14 15 19 22 22 18 13 11 10 10 11 12 13 15 16 17 17 18 19 20 21 21 21 22 22 22 22 22 22 20 18 17 14 11 9 10 10 11 11 12 13 13 13 12 11 9 9 nan
nan 15 16 16 15 14 13 13 13 14 14 14 13 13 13 13 13 12 12 13 13 12 12 10 9 8 9 10 10 10 9 8 8 9 9 10 11 11 11 11 10 9 9 9 8 9 10 10 11 12 13 13 13 14 14 16 17 18 20 22 23 24 24 22 20 19 20 24 27 26 23 19 16 14 14 14 14 14 15 16 18 18 19 20 22 23 23 23 22 22 21 22 22 22 21 19 17 15 13 12 11 11 12 12 13 13 13 13 12 11 10 10 nan
nan 15 15 14 13 11 9 9 10 12 12 11 10 10 12 12 11 11 13 13 14 14 13 12 10 8 7 8 9 9 9 8 8 8 9 10 11 12 12 11 10 9 8 8 8 8 9 10 11 12 13 13 12 13 13 13 14 15 16 16 17 18 19 19 18 18 19 22 24 24 23 23 23 22 21 20 19 19 18 19 20 21 21 22 24 24 24 23 22 20 19 19 19 19 18 17 17 16 14 13 13 13 12 13 14 14 14 13 12 11 11 10 nan
nan 13 12 10 8 6 5 5 6 8 8 7 7 9 11 11 11 11 13 14 14 14 14 13 11 9 7 7 7 8 8 8 8 8 9 10 11 12 12 11 10 9 8 7 7 8 8 9 11 12 13 13 13 12 12 12 12 12 13 13 14 15 16 16 16 16 17 22 25 27 28 29 31 30 29 26 25 24 24 24 25 25 26 26 27 27 26 25 22 19 17 16 16 16 16 15 15 16 15 15 15 14 14 14 15 15 15 13 12 12 11 11 nan
nan 10 8 6 5 4 4 5 6 6 7 7 9 10 10 9 10 13 14 14 14 14 13 13 12 10 9 7 7 7 6 6 7 8 9 9 10 11 12 11 11 10 8 7 7 7 7 8 10 12 13 13 13 12 12 12 11 11 12 12 12 13 14 14 15 17 22 28 32 35 36 36 36 34 32 29 28 28 28 29 29 30 31 32 31 30 29 26 23 20 17 16 15 15 15 15 15 15 15 15 15 14 15 16 16 16 15 14 13 12 12 12 nan
nan 8 7 6 6 7 7 8 9 10 10 10 11 11 9 8 9 12 14 14 14 13 12 12 12 11 10 8 8 6 5 5 6 8 8 8 8 9 10 11 12 10 8 7 6 6 6 8 10 11 13 14 13 12 12 12 11 11 11 12 13 14 14 15 18 22 29 34 36 37 36 34 33 32 30 29 28 28 29 30 31 32 33 34 34 33 30 27 24 21 18 16 15 15 14 14 14 14 14 14 14 14 15 16 16 16 15 14 14 13 13 13 nan
nan 8 8 8 9 10 10 10 12 13 13 12 12 11 9 7 8 11 12 13 13 13 12 12 12 11 10 10 9 8 5 4 6 7 7 7 7 8 9 11 12 11 9 8 7 6 7 9 10 11 14 15 14 13 12 12 12 12 12 13 15 16 18 20 24 30 35 36 35 32 29 28 28 27 27 27 27 27 27 27 28 30 31 32 32 32 30 27 24 21 18 15 14 13 13 13 12 12 13 13 13 14 15 15 15 15 15 14 14 14 14 13 nan
nan 10 10 11 11 10 9 10 11 12 11 10 10 10 10 8 8 9 11 12 13 13 12 13 12 11 11 12 11 9 6 5 5 6 7 6 6 6 8 11 13 12 10 9 7 7 8 9 10 13 15 15 15 14 13 12 12 13 14 16 18 20 23 28 32 36 36 34 30 26 24 24 24 24 23 23 24 24 24 24 24 25 26 27 28 27 27 25 22 20 17 14 12 11 11 11 11 11 11 12 12 13 14 14 14 13 13 13 14 14 14 14 nan
nan 10 11 10 9 8 7 9 10 10 9 8 9 10 10 9 9 9 10 12 13 13 14 14 13 13 13 13 11 9 7 5 5 7 7 6 6 6 8 12 13 13 12 9 8 8 9 9 11 14 16 16 17 15 13 13 13 14 16 18 19 22 26 31 34 34 31 28 24 21 20 20 20 20 20 20 20 20 19 19 19 20 20 21 22 22 22 21 20 18 15 13 11 10 9 9 9 9 10 10 11 12 12 13 12 12 12 12 13 13 13 13 nan
nan 10 10 9 8 8 9 10 10 9 8 8 9 9 9 9 9 8 9 11 13 16 17 16 14 13 13 12 11 9 6 5 6 8 8 7 7 7 9 12 13 13 12 8 8 8 8 9 12 15 16 17 17 15 14 14 14 15 16 17 18 19 21 23 23 22 21 20 19 18 18 18 17 17 17 17 16 16 15 15 15 15 15 16 16 16 16 16 16 15 14 12 11 9 8 8 8 8 9 9 10 11 11 11 11 11 11 11 12 12 12 12 nan
nan 10 10 10 11 11 12 12 11 10 10 10 10 10 9 9 9 9 9 12 15 18 18 16 14 13 13 13 11 9 7 7 8 9 9 8 7 7 10 11 13 13 10 8 8 8 8 10 13 14 16 18 17 15 14 14 14 15 15 15 15 15 13 11 10 10 14 15 16 16 16 15 15 14 14 14 13 13 12 12 12 12 12 11 12 12 12 12 13 13 12 11 10 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 nan
nan 11 12 13 13 13 13 11 10 10 11 12 12 12 11 11 11 11 12 13 14 14 14 13 13 14 15 15 13 11 8 8 9 9 8 7 7 7 9 11 12 12 9 9 9 8 8 10 12 13 16 17 16 14 13 12 12 13 13 12 12 11 8 7 7 10 14 15 14 14 13 12 12 12 12 11 11 10 10 10 9 9 8 8 9 9 9 9 10 11 11 10 9 8 8 8 8 8 9 8 8 8 9 9 9 9 9 9 8 8 8 9 nan
nan 11 12 13 13 13 12 10 10 11 12 14 14 13 13 13 13 13 12 11 9 7 7 9 12 14 16 16 15 12 11 10 10 9 8 7 7 8 9 11 13 12 11 10 9 7 8 9 10 13 16 16 14 13 11 10 11 11 12 12 11 10 9 8 11 15 16 15 13 11 10 10 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 9 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 8 8 nan
nan 12 13 13 13 13 12 11 11 12 14 15 15 15 15 14 14 13 12 9 6 3 3 5 9 13 16 16 15 13 12 10 9 9 9 8 9 9 10 12 13 12 12 11 9 7 8 8 9 13 16 15 13 11 8 8 9 11 12 12 11 11 10 11 13 13 12 12 10 8 8 8 8 7 7 7 7 7 6 6 5 6 6 6 6 6 7 7 7 8 8 8 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 nan
nan 12 13 14 15 14 14 14 14 15 15 16 17 17 16 16 15 15 14 13 8 4 2 3 7 12 15 15 14 12 10 9 8 7 8 8 9 10 10 11 12 13 13 12 9 8 8 8 10 14 14 14 13 10 8 8 9 10 12 12 12 11 10 10 9 7 5 6 8 8 8 8 7 7 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 nan
nan 13 14 14 15 15 15 16 17 17 18 19 20 20 19 18 18 18 18 18 14 9 7 6 9 13 14 14 12 10 8 7 6 6 7 7 8 9 9 10 11 13 15 13 11 9 8 8 11 12 13 13 12 9 8 8 8 10 10 11 10 10 9 8 5 2 2 3 5 7 8 7 7 6 6 6 6 6 6 6 6 5 5 6 6 6 6 6 7 7 7 7 7 7 7 6 7 7 7 7 7 7 7 7 8 8 9 9 9 10 9 9 nan
nan 12 12 12 12 13 14 17 18 19 21 23 25 25 23 22 21 21 21 21 18 16 14 12 13 14 14 12 11 8 6 6 6 6 7 7 8 8 8 9 11 14 15 14 12 10 8 9 10 11 12 13 11 10 9 8 9 9 9 9 9 8 8 7 5 2 1 2 3 6 7 7 7 7 7 6 6 6 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 9 9 nan
nan 11 10 9 10 11 13 16 17 18 21 24 28 30 29 28 26 24 23 22 22 21 19 16 15 14 13 12 9 7 6 6 6 6 7 7 8 8 8 9 11 14 16 15 13 10 9 9 9 10 12 12 12 11 10 10 10 9 9 9 7 7 7 7 6 4 2 1 1 4 6 7 8 7 7 7 7 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 9 9 9 nan
nan 11 10 10 10 11 12 12 13 13 15 20 26 31 32 33 31 29 27 25 24 23 19 16 15 13 12 11 9 7 7 6 5 6 7 7 7 7 8 9 11 14 15 15 14 11 9 9 9 10 11 12 12 12 11 11 11 10 10 9 8 7 6 7 6 5 3 0 1 4 6 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 8 6 5 4 nan
nan 11 11 12 12 11 11 10 9 9 10 13 19 24 29 33 35 35 32 29 25 22 18 15 13 12 12 11 10 9 7 6 6 6 6 7 7 7 8 9 11 13 15 15 13 11 9 9 9 11 11 12 12 12 11 11 11 11 12 10 9 8 7 7 7 6 4 2 1 3 4 7 8 8 7 7 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 8 5 1 -2 -3 -4 nan
nan 10 11 11 11 11 10 9 8 7 7 9 12 17 22 29 34 36 33 28 23 19 15 12 11 12 13 13 12 11 8 7 6 6 6 6 6 7 8 9 11 12 13 13 13 11 10 9 10 11 11 11 11 10 10 10 11 12 12 11 10 10 9 8 7 7 5 4 2 1 1 2 3 4 5 6 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 8 5 0 -4 -6 -7 -7 -5 nan
nan 8 9 9 10 10 10 9 7 6 4 5 8 12 17 24 30 32 30 26 20 16 12 10 11 14 15 15 15 12 9 8 8 8 7 6 7 7 8 10 11 12 12 14 13 12 11 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 10 9 8 8 7 4 2 -1 -3 -5 -6 -5 -2 1 3 5 7 8 8 9 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 6 2 -3 -6 -7 -6 -4 -1 2 nan
nan 6 7 8 10 10 10 10 8 4 -0 -0 4 9 14 20 24 26 25 22 18 15 13 12 14 16 17 17 16 13 11 10 9 8 7 8 8 8 9 10 10 11 13 15 14 13 12 11 11 11 10 10 10 9 9 10 10 10 10 11 11 11 11 10 10 10 8 6 3 -0 -4 -7 -9 -8 -6 -5 -4 -3 1 5 8 10 11 10 11 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 5 2 -2 -6 -6 -4 -0 3 6 7 nan
nan 6 7 9 11 11 11 10 9 3 -3 -4 -0 5 11 16 20 20 19 17 16 16 16 16 17 18 17 17 16 14 13 11 9 8 8 9 9 9 9 9 9 10 14 15 13 12 11 10 10 10 10 9 9 8 8 9 9 9 9 9 10 10 11 12 13 12 10 9 7 4 1 -1 -2 -3 -4 -5 -6 -6 -4 1 6 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 7 7 7 6 6 5 4 1 -2 -3 -2 2 5 8 9 9 nan
nan 8 9 10 12 12 11 11 10 5 -1 -3 -2 3 9 14 16 16 14 14 15 16 17 17 17 17 17 17 16 15 14 12 10 9 9 10 10 9 10 10 9 11 13 13 12 10 9 9 9 9 9 8 8 7 7 7 7 6 7 7 8 9 11 12 13 13 12 11 9 8 6 6 6 5 3 2 -0 -1 -0 1 4 6 8 9 10 8 7 7 8 9 10 9 9 8 8 7 7 7 7 6 6 5 4 3 0 0 2 4 7 9 9 9 nan
nan 11 11 11 12 12 12 12 11 8 4 2 2 4 9 12 13 12 11 12 14 15 16 16 17 18 17 17 16 16 15 13 11 10 10 10 9 10 10 10 10 12 12 11 10 9 8 8 8 8 7 7 7 7 7 6 5 5 5 6 7 8 10 11 12 12 12 11 10 9 9 10 10 9 9 8 7 6 4 2 2 1 0 -0 -1 -1 -1 1 5 8 9 9 9 8 8 8 8 8 8 7 7 6 5 3 2 2 3 6 8 9 9 9 nan
nan 11 12 11 11 11 11 13 12 10 9 7 7 8 10 11 11 11 11 12 13 13 13 15 17 18 18 17 16 16 16 15 14 12 10 9 9 10 11 10 10 10 11 11 10 8 8 8 7 7 7 8 7 7 7 6 6 6 6 6 7 8 8 9 10 10 10 10 9 9 10 11 11 11 11 11 11 9 7 4 -0 -4 -8 -11 -13 -10 -7 -3 1 5 7 8 8 8 9 10 9 9 8 8 7 6 6 5 4 5 6 7 8 9 9 9 nan
nan 12 12 11 10 10 11 12 12 11 10 10 10 11 11 10 9 9 10 11 12 11 11 14 16 18 19 19 18 17 17 16 15 13 10 10 10 10 9 8 9 9 10 12 11 9 9 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 7 8 9 9 9 9 10 10 11 11 12 12 12 11 10 8 5 1 -4 -8 -10 -9 -7 -5 -2 -1 -1 -1 1 3 6 8 10 10 8 8 7 6 6 7 7 7 8 8 9 9 9 9 9 nan
nan 11 11 10 9 9 11 12 12 11 10 10 11 11 10 9 8 8 9 10 10 10 11 13 16 18 19 20 19 18 17 16 15 14 12 11 10 9 8 7 7 8 11 13 12 11 10 9 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 8 9 9 10 10 12 13 13 12 12 11 9 7 5 3 1 1 2 3 3 1 -1 -5 -7 -5 -2 0 3 6 6 6 7 7 7 7 8 9 9 9 10 10 10 10 9 9 nan
nan 10 10 10 9 10 10 11 11 11 11 11 11 10 9 8 8 8 9 9 10 11 12 13 14 16 19 20 20 18 17 16 16 15 14 13 12 10 8 7 7 9 12 13 13 12 11 10 10 11 10 10 10 11 11 11 11 11 11 10 9 8 8 7 8 8 8 8 8 9 9 11 12 13 13 13 13 11 10 9 8 8 9 9 9 8 7 5 2 -1 -2 -2 -2 -2 -1 -1 1 2 5 6 8 9 10 10 10 10 11 12 12 12 12 11 nan
nan 10 10 10 10 10 10 10 10 11 11 11 10 10 9 8 8 8 9 10 12 12 12 12 12 15 17 19 18 17 16 16 16 15 15 15 13 11 10 8 8 11 14 15 15 14 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 9 9 8 9 9 10 11 13 13 14 14 13 12 11 10 10 10 11 10 10 9 9 8 7 6 6 5 4 2 0 -1 -2 -0 3 6 9 11 11 11 11 12 13 14 15 16 16 14 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 8 10 12 12 12 11 11 13 15 17 17 16 16 16 16 16 17 17 17 15 13 11 9 10 13 16 18 19 17 13 11 10 10 11 12 12 12 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 12 13 14 14 13 12 11 11 11 11 11 11 10 10 10 9 9 9 9 8 8 7 5 4 3 4 6 8 8 8 9 10 12 13 14 16 18 19 19 17 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 10 12 12 12 10 9 11 13 15 17 16 15 14 15 16 18 19 19 18 16 14 12 11 13 16 19 22 22 19 15 12 10 10 11 12 12 11 10 10 9 9 10 10 10 10 9 9 8 8 8 9 9 10 11 12 12 13 13 12 12 12 12 12 12 12 12 12 11 10 10 9 9 9 9 9 9 9 8 8 8 8 6 3 -0 -1 1 3 7 10 12 15 17 18 19 19 nan
nan 9 9 9 9 10 10 10 10 10 9 10 10 10 9 8 8 10 11 12 11 9 9 11 13 14 14 14 14 14 15 16 18 19 20 19 17 16 14 14 16 19 22 24 23 20 16 13 11 11 12 12 12 11 10 10 10 10 10 10 10 9 8 8 8 8 8 9 10 11 11 11 11 12 11 11 11 12 13 13 13 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 9 6 1 -5 -8 -8 -6 -4 -1 2 5 8 10 13 15 18 nan
nan 9 9 9 10 10 10 10 10 10 9 9 10 10 9 8 8 9 10 12 11 10 11 11 12 13 12 12 13 13 14 15 17 18 19 19 18 17 16 17 18 20 23 24 22 20 18 15 14 13 12 12 12 11 11 11 10 10 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 10 11 12 12 12 13 13 12 12 11 11 10 9 9 9 9 9 9 9 9 9 7 5 1 -2 -3 -3 -3 -3 -3 -3 -3 -2 1 4 7 11 nan
nan 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 12 12 13 12 12 11 12 13 14 14 16 17 19 19 19 18 18 18 19 21 22 22 21 19 17 15 14 12 12 12 12 12 12 10 9 8 8 7 7 8 8 9 9 10 10 10 10 10 10 11 11 10 10 10 10 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 10 10 9 8 7 6 6 6 6 5 4 2 -1 -3 -4 -3 -2 -1 1 nan
nan 8 9 9 10 10 10 9 9 9 9 9 9 9 10 11 12 13 14 14 13 12 11 12 12 12 12 12 11 11 11 12 12 13 15 17 19 20 20 19 18 19 20 21 21 21 19 17 15 13 12 12 12 12 11 11 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 9 9 9 9 9 9 10 11 11 11 12 11 11 10 10 9 9 9 9 9 10 10 10 9 9 9 9 10 9 9 8 7 6 4 2 2 0 -2 -3 nan
nan 9 9 9 10 10 10 10 9 8 8 9 10 11 12 13 14 15 15 14 13 12 11 11 11 11 11 12 12 12 11 10 9 9 10 13 16 19 20 21 20 20 20 21 21 20 19 17 16 15 15 14 12 10 9 8 8 9 11 11 11 12 11 10 10 10 10 10 10 11 10 10 9 8 8 8 8 9 9 9 9 10 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 9 9 9 9 8 6 4 2 nan
nan 9 9 9 10 10 10 10 9 9 9 10 12 14 15 14 14 14 13 13 12 12 11 11 11 11 11 12 12 12 11 9 7 6 7 8 11 14 17 20 21 22 22 21 21 20 18 17 17 16 15 13 11 10 9 9 9 11 12 13 13 13 12 11 11 11 11 11 11 10 10 9 8 8 8 9 9 9 9 9 8 9 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 11 10 10 9 8 7 nan
nan 9 9 10 10 10 10 10 10 10 10 12 13 14 14 13 12 12 11 11 11 12 12 12 12 11 11 12 12 12 11 9 8 7 6 6 7 9 12 16 20 22 22 21 20 19 18 17 16 14 13 11 10 11 12 12 13 14 14 14 14 13 12 12 11 11 11 10 9 8 8 8 8 9 9 9 9 9 8 8 7 8 8 8 9 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 9 9 10 10 10 11 11 11 11 11 11 10 nan
nan 11 10 10 11 11 10 10 10 11 12 13 13 13 12 11 10 11 11 11 11 11 11 12 12 12 12 12 13 13 12 11 10 9 7 6 6 6 8 11 15 19 21 21 20 19 18 17 15 14 12 11 12 13 14 13 14 14 14 14 13 12 12 11 11 10 10 9 8 8 8 8 9 9 9 8 8 7 7 6 6 6 7 8 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 nan
nan 13 12 12 11 11 11 10 11 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 12 12 13 13 13 12 11 11 9 9 9 8 7 6 7 10 15 18 19 20 19 19 18 16 14 13 13 12 12 12 11 12 12 12 13 12 12 11 11 10 9 9 9 8 9 9 9 9 8 8 8 7 7 6 6 6 7 8 9 10 11 11 11 11 10 10 10 9 9 9 9 9 9 10 9 10 10 10 10 11 11 11 11 11 11 11 11 nan
nan 14 14 13 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 12 12 13 14 13 13 12 10 10 10 10 9 8 6 5 7 10 13 15 16 18 18 18 17 16 15 14 13 11 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 11 10 10 11 11 11 11 11 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 14 14 14 13 12 11 11 11 11 11 11 11 10 10 11 11 11 11 12 12 12 11 11 11 11 12 13 14 14 13 12 10 10 10 10 10 9 7 6 6 6 8 9 11 14 16 17 17 17 17 17 16 13 12 11 11 11 11 11 10 9 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 13 13 14 14 13 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 12 13 13 13 12 11 10 10 10 10 10 9 8 7 6 6 6 7 9 12 14 15 17 19 21 21 20 18 16 14 13 12 12 12 11 11 11 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 10 11 11 11 11 11 12 12 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 12 12 13 14 13 12 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 9 9 8 7 6 8 9 11 12 14 18 22 24 25 24 21 18 16 15 14 14 13 13 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 nan
nan 11 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 10 12 16 19 22 23 22 21 19 18 17 15 14 13 13 13 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 12 13 12 11 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 nan
nan 11 11 12 13 13 13 13 12 11 10 10 10 10 10 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 10 9 9 8 8 8 7 7 7 7 9 12 15 16 17 17 17 17 16 15 15 16 16 16 14 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 11 12 12 11 10 9 8 7 8 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 nan
nan 11 11 11 12 12 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 9 9 8 8 7 6 6 5 4 5 7 7 8 9 10 11 12 13 14 15 18 19 17 14 12 11 9 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 10 11 13 13 11 9 8 6 7 8 9 8 9 9 9 9 9 9 9 9 10 9 9 10 9 nan
nan 11 11 11 11 12 12 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 8 8 7 7 7 6 5 5 4 3 4 4 5 6 7 7 9 13 18 18 17 15 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 10 11 12 12 11 10 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 nan
nan 11 11 11 11 11 12 13 13 13 12 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 5 4 4 3 3 2 2 2 3 7 11 13 17 18 16 15 13 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 12 11 11 10 10 9 9 10 9 9 9 10 10 10 10 10 10 10 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
CAPE
0 0 0 1 3 6 11 16 20 25 29 31 35 41 48 56 69 99 161 186 212 260 323 393 424 448 470 482 466 455 445 430 408 380 359 325 282 244 226 225 205 192 179 163 144 121 103 81 53 35 24 28 61 128 229 344 412 449 503 584 650 659 691 691 654 600 589 543 521 544 582 594 665 677 705 761 816 815 816 806 765 632 578 479 396 347 330 297 295 334 409 511 617 726 789 817 834 871 931 976 990 959 892 800 672 531 404 313 238 184 150 134 125
0 0 0 0 2 4 13 19 25 31 35 34 35 37 37 34 37 76 136 188 233 285 369 450 477 473 464 475 464 465 468 463 442 401 372 335 293 259 242 254 262 259 244 216 192 161 131 100 68 47 32 32 52 96 170 258 336 400 455 502 578 602 622 650 668 578 557 538 526 541 567 530 537 591 665 679 768 753 710 678 717 602 527 458 389 323 304 280 275 308 387 490 593 680 738 773 803 849 898 930 925 850 761 649 525 406 297 227 171 131 111 102 97
0 0 0 0 0 4 11 19 25 27 28 26 24 20 15 12 20 61 122 189 254 313 387 455 500 515 478 468 453 449 456 463 458 423 386 353 327 317 295 289 291 297 293 269 243 215 184 142 73 51 40 35 47 93 148 205 267 336 416 446 499 531 542 556 621 557 512 507 528 523 504 468 461 532 707 663 685 723 733 629 639 570 493 430 387 322 284 264 269 308 387 474 559 633 692 741 784 831 867 871 820 726 619 505 392 290 213 162 123 95 80 79 85
0 0 0 0 0 2 6 10 14 12 10 7 5 4 2 4 20 63 129 203 273 335 384 431 488 555 516 479 446 425 421 422 423 405 374 340 311 306 294 284 277 286 274 267 259 246 224 169 96 61 51 49 64 102 137 172 213 267 356 398 430 455 472 459 506 503 466 433 518 534 501 448 415 461 602 605 585 622 777 708 655 574 479 391 361 314 271 243 250 305 384 464 535 598 658 719 765 800 826 785 695 591 486 386 296 219 161 119 91 74 71 76 81
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2 2 3 2 2 1 0 0 0 0 0 0 0 1 11 50 125 207 285 351 392 408 399 398 404 400 387 378 356 337 312 284 261 238 207 173 141 109 83 54 33 21 18 19 18 23 33 46 62 48 33 21 12 6 20 40 66 93 115 115 115 119 127 139 165 165 172 186 208 205 268 308 336 368 521 391 343 323 322 419 355 320 282 229 185 148 140 149 176 222 290 368 444 508 544 526 488 446 402 345 286 235 191 152 117 90 75 60 49 47 49 46 40
4 2 3 5 5 3 0 0 0 0 0 0 0 1 17 62 135 206 268 321 364 389 386 366 337 306 279 262 267 278 283 277 269 236 194 159 141 101 74 51 33 23 16 13 11 11 11 13 28 29 24 17 10 5 10 22 39 61 82 87 89 95 103 98 110 120 121 118 165 162 184 240 316 294 372 366 333 301 212 282 312 303 265 200 164 138 126 132 159 203 256 319 382 430 446 425 386 342 316 271 223 179 143 114 87 66 51 42 35 37 41 37 28
17 11 8 6 6 5 2 1 0 0 0 0 0 2 17 70 148 216 246 252 297 333 337 299 249 225 229 243 263 278 283 285 267 235 191 144 123 101 79 57 40 32 25 20 13 7 6 6 10 13 15 14 11 8 9 16 27 45 56 62 68 79 91 81 78 87 104 76 106 119 131 167 271 285 307 307 287 316 253 247 238 246 288 239 193 156 133 127 146 177 217 263 322 353 354 336 304 258 231 196 155 115 88 71 52 32 19 18 17 16 18 21 17
44 30 20 12 8 8 6 4 3 1 0 0 4 13 29 86 168 240 280 287 290 282 260 222 187 195 228 263 291 301 289 279 258 227 186 138 111 90 74 62 51 43 36 29 22 15 13 12 13 15 20 22 23 25 26 31 40 49 51 50 51 60 65 60 54 57 76 69 76 85 92 120 184 231 270 275 219 253 265 276 274 231 239 217 189 163 152 129 130 151 184 216 248 266 269 256 235 197 155 117 88 60 44 34 24 16 11 7 6 8 11 11 11
64 48 33 19 13 12 11 10 9 6 3 2 7 22 54 117 195 269 325 339 307 276 236 193 168 187 220 258 289 290 284 274 249 212 171 131 100 80 72 70 64 57 50 42 32 26 25 28 32 34 35 34 37 36 29 46 58 62 57 49 53 52 48 39 29 29 32 34 41 50 50 77 115 169 224 227 193 205 229 249 264 204 159 130 115 92 69 77 93 112 136 155 169 186 196 185 169 142 107 71 44 30 21 16 13 7 4 2 2 4 7 7 8
75 62 48 28 20 16 16 16 16 12 7 3 7 25 76 153 236 309 357 366 341 294 236 183 181 195 211 226 242 260 271 263 238 202 162 123 88 65 56 54 54 52 47 43 38 35 35 41 54 56 53 44 44 50 39 49 51 50 54 47 45 41 35 28 15 10 8 8 11 20 23 36 55 91 173 173 162 178 217 209 202 177 127 64 46 41 45 59 74 84 93 103 113 125 132 123 104 79 50 26 18 16 12 6 0 0 0 1 1 2 4 5 7
80 70 57 40 29 22 19 19 18 13 8 4 7 39 98 174 257 332 360 357 334 291 224 160 170 193 208 213 218 237 249 248 233 206 166 121 77 43 23 20 22 24 26 27 27 30 33 38 48 51 53 52 49 56 59 63 59 51 55 50 41 34 28 23 13 5 1 2 1 4 6 14 27 47 104 143 158 161 211 202 165 133 105 37 21 26 41 54 67 70 72 77 85 82 77 69 52 25 12 10 10 10 7 2 0 0 0 0 0 1 2 3 4
83 77 65 52 39 29 21 19 17 12 8 4 9 54 111 175 243 313 326 318 296 259 195 132 136 174 213 236 235 235 235 236 235 214 169 114 64 27 11 4 3 5 9 8 8 11 18 22 26 30 35 39 42 49 53 57 57 51 53 52 48 40 30 21 11 4 1 0 0 0 1 3 10 24 54 106 157 142 151 162 133 82 67 36 20 22 37 43 50 53 54 53 46 39 34 30 22 7 2 2 4 4 2 1 0 0 0 0 0 0 0 1 2
86 79 69 58 46 34 24 19 15 11 7 3 17 57 104 148 200 261 279 270 244 202 155 114 112 151 217 253 262 256 244 236 238 215 167 104 47 19 5 1 0 0 1 1 2 4 6 8 10 12 16 18 18 18 21 25 28 27 30 33 34 31 26 20 12 4 2 0 0 0 0 0 2 9 23 56 115 109 78 67 77 43 27 19 16 15 24 27 27 28 31 23 14 10 8 6 5 1 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2
71 68 62 55 47 39 31 24 18 13 9 6 20 46 76 106 174 229 253 243 211 165 132 104 91 110 179 225 249 253 245 238 232 205 153 87 31 9 2 0 0 0 0 0 0 0 1 1 2 2 1 2 3 2 2 4 5 5 3 4 9 11 11 11 11 5 2 1 1 0 0 1 1 3 13 33 72 94 69 19 26 15 7 4 5 6 10 11 9 7 6 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1
34 35 36 38 39 37 32 26 19 12 8 6 12 22 38 69 123 171 199 201 189 167 142 113 88 90 146 189 210 216 219 225 212 174 118 63 17 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 1 2 1 1 1 1 1 0 1 2 1 3 14 32 46 62 67 18 7 3 1 0 0 1 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 1 2
7 8 11 15 22 23 18 10 4 3 4 4 5 6 11 30 53 75 98 122 149 166 167 146 113 101 118 146 169 180 194 194 164 106 58 26 8 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 1 1 10 19 20 12 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 1 2 4
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3 3 3 3 3 3 3 3 3 3 4 4 5 5 6 7 8 7 10 32 71 120 170 175 157 132 102 74 83 117 134 126 102 34 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 12
4 3 3 3 2 2 2 3 3 3 3 3 3 3 4 5 6 7 7 12 30 63 106 128 134 128 111 88 93 97 97 102 98 60 24 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 1 3 5 6 10 16
5 5 4 3 3 3 3 4 5 5 4 4 4 4 4 3 4 5 5 6 9 21 48 82 115 130 111 97 89 81 75 98 101 80 42 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 3 9 18 26
6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 4 5 5 8 17 43 83 103 101 93 83 73 63 79 86 76 46 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 9 17 26 31
8 7 6 5 5 5 4 4 4 4 4 5 5 5 5 5 4 3 3 4 4 4 5 16 49 74 86 86 76 66 60 65 67 60 35 13 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 1 3 8 14 21 29 37
11 10 9 7 7 6 5 4 4 4 5 6 7 7 7 7 5 4 3 2 3 3 3 6 25 51 71 78 70 62 58 58 57 43 21 6 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 2 5 9 15 22 27 34 40
15 14 14 13 11 9 7 6 6 6 7 7 7 8 9 9 7 5 3 2 2 2 3 5 14 35 55 66 64 60 58 59 61 37 14 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 2 4 7 11 14 18 22 28 33 37 42
20 20 21 18 15 12 10 9 9 9 8 8 7 9 10 9 7 5 3 2 2 2 3 4 8 20 39 50 57 60 65 72 58 27 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 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 8 12 16 21 25 28 28 28 30 33 37 41
25 25 24 22 19 16 14 12 12 11 10 9 7 8 9 8 6 4 3 3 3 3 3 4 5 10 22 43 61 64 48 33 14 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 1 0 1 1 1 1 4 8 14 18 22 25 29 33 37 38 38 38 38 37 33
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30 29 28 27 26 23 20 16 13 9 8 10 10 10 9 8 7 6 6 5 4 3 3 3 4 4 3 6 8 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 1 1 1 2 2 3 3 3 3 3 3 2 2 2 2 2 4 5 6 9 12 16 20 22 23 25 27 29 29 26 24 22 20 20 21 24 25 25 24 24 25
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33 32 32 32 32 31 28 25 20 16 15 15 14 11 8 6 5 4 3 4 3 3 4 5 7 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 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 4 5 5 4 5 5 6 6 6 6 6 6 6 6 6 6 5 6 6 7 8 10 12 14 17 20 23 26 28 29 29 28 27 25 23 21 20 18 16 15 15 15 13 9 6 4
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