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 6 6 8 12 13 11 9 9 9 10 10 9 9 9 9 9 10 9 9 10 11 12 11 11 12 12 11 10 10 11 11 10 9 9 9 10 11 14 17 20 23 25 27 24 20 17 14 11 9 9 8 8 8 7 7 6 6 5 4 5 6 5 4 1 -1 2 11 20 30 39 41 37 33 28 21 16 15 14 14 13 13 13 13 13 13 13 13 13 13 13 12 13 12 11 9 9 8 8 7 7 8 8 8 8 9 9 9 9 9 9 8 nan
nan 8 9 9 11 12 11 9 8 8 9 10 10 10 10 9 10 10 10 10 11 12 12 11 11 11 11 11 10 11 10 10 9 9 9 9 9 11 14 16 19 22 25 26 23 19 16 12 9 8 8 9 9 9 8 8 8 6 4 4 5 5 6 5 2 0 1 4 12 25 36 38 37 35 29 21 19 17 16 14 14 14 14 14 14 14 14 14 13 13 12 12 11 11 11 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 8 nan
nan 11 10 10 10 11 11 10 8 7 9 10 10 10 10 10 10 11 11 12 13 13 12 11 10 11 11 11 11 10 9 9 9 10 9 8 8 10 13 16 18 22 26 25 22 19 15 10 8 8 8 9 9 8 8 8 7 5 4 3 3 4 5 5 3 1 -1 -1 7 20 29 34 37 36 29 24 21 18 15 14 14 15 15 14 14 14 13 13 12 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 9 9 9 10 10 9 9 nan
nan 10 10 9 9 10 11 10 9 9 10 11 11 10 10 10 10 11 13 14 15 14 12 10 10 11 11 11 10 10 9 10 10 9 8 7 7 9 10 13 18 23 25 25 22 19 14 11 9 9 8 8 7 7 7 6 5 4 3 2 2 3 4 5 4 2 -1 -2 3 12 20 29 36 36 31 27 23 17 14 14 14 14 13 13 13 13 13 13 12 11 11 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 nan
nan 9 9 9 10 10 11 11 11 12 13 13 11 10 9 10 11 12 14 16 15 13 11 10 11 12 12 11 11 11 10 10 10 10 9 7 6 5 6 11 19 24 26 26 23 19 15 12 11 9 7 6 6 5 5 5 4 3 2 1 1 1 3 3 4 2 -1 -3 -0 5 14 26 35 35 33 30 23 17 15 13 13 12 12 12 12 12 13 13 12 12 12 11 11 11 10 10 9 10 10 9 9 9 9 9 9 9 9 10 10 10 9 9 nan
nan 10 10 10 10 10 11 11 12 13 13 12 10 9 9 10 12 14 15 15 14 12 10 11 13 13 13 12 11 11 11 10 11 11 10 7 5 3 5 13 20 26 28 28 25 20 16 13 11 8 7 6 5 4 4 3 3 3 2 1 0 0 1 2 3 2 0 -2 -2 1 10 23 29 33 34 31 25 20 17 13 11 11 11 11 11 12 13 13 13 12 12 12 11 10 9 8 8 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 nan
nan 10 10 9 9 10 10 11 11 11 11 10 9 9 10 12 13 14 14 14 13 11 11 12 13 14 13 12 11 11 11 11 12 12 11 8 5 5 10 18 24 30 33 33 28 21 16 13 9 7 7 7 6 5 3 3 2 2 2 1 1 0 0 1 3 3 2 0 -2 -0 7 16 24 31 35 33 29 25 19 13 10 10 11 11 11 11 12 12 12 12 11 11 10 9 7 6 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 9 nan
nan 10 9 9 9 10 10 10 10 9 8 7 9 11 12 12 13 13 13 13 13 11 11 12 13 14 12 11 11 11 12 13 13 12 11 10 9 12 17 22 28 34 37 37 31 24 17 11 7 6 6 6 7 6 5 4 2 2 1 2 2 2 2 3 4 5 4 2 -0 -1 4 11 21 31 36 34 32 29 22 15 13 11 10 10 11 11 11 10 11 10 10 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 8 8 9 9 9 9 nan
nan 9 8 8 9 10 10 10 9 8 6 7 10 12 13 12 12 12 12 13 12 11 11 12 13 13 12 11 11 12 13 13 12 11 11 12 13 16 18 21 25 30 34 34 31 26 18 11 8 6 4 4 5 6 6 5 4 3 3 3 4 4 4 5 5 5 6 4 1 0 2 9 20 30 33 35 34 31 25 21 17 12 9 9 9 9 10 10 10 9 9 9 8 7 7 7 7 7 7 6 6 7 7 7 7 7 8 8 9 9 10 10 nan
nan 8 8 8 8 10 10 10 8 6 5 8 11 13 13 11 11 11 11 11 11 11 12 13 14 12 11 11 12 13 12 11 10 10 11 12 13 14 14 15 17 20 22 24 24 21 17 13 11 9 5 2 2 4 6 7 6 6 6 6 7 7 6 6 6 6 6 5 3 2 2 9 19 26 31 34 34 31 28 25 19 13 9 9 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 nan
nan 9 8 8 9 10 11 10 8 5 6 9 13 14 13 11 10 10 10 10 10 11 12 12 12 11 11 11 12 11 10 10 9 10 11 12 12 12 12 11 12 14 15 16 15 14 12 12 14 13 9 4 2 4 8 9 9 9 9 9 9 8 7 6 6 6 6 6 5 4 6 11 17 24 31 34 33 30 27 24 19 14 11 9 8 7 8 8 9 9 9 8 8 7 7 6 6 6 7 8 8 9 9 9 9 9 9 9 10 10 11 10 nan
nan 9 9 9 10 11 11 10 8 7 8 10 12 13 12 11 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 11 12 13 13 13 13 15 17 20 19 16 13 12 13 16 16 12 8 6 8 12 13 12 12 10 9 9 8 7 6 6 6 7 8 8 8 9 12 17 25 31 32 30 27 25 21 17 15 13 10 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 8 9 10 11 10 10 10 10 10 11 11 11 nan
nan 9 10 10 10 10 10 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 8 9 10 10 11 12 12 13 14 15 16 18 22 24 25 22 19 18 19 20 18 15 11 10 12 14 14 13 12 10 8 8 7 6 6 7 8 10 12 12 11 11 13 18 26 31 31 29 25 21 17 15 14 12 11 9 9 8 7 7 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 10 10 9 10 10 10 9 9 9 9 9 8 8 8 9 11 11 12 12 13 14 15 16 18 20 22 24 24 23 22 21 20 17 14 11 11 12 13 12 12 11 9 7 6 6 6 7 8 11 14 16 14 12 11 13 20 27 30 31 29 25 19 16 14 12 11 11 11 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 nan
nan 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 12 13 13 13 13 12 13 13 14 16 18 20 21 21 20 18 16 13 11 10 10 10 10 10 10 10 9 8 7 6 7 8 10 14 16 15 13 11 11 15 22 27 31 31 29 25 20 16 13 11 11 11 11 11 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 nan
nan 10 10 10 10 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 10 10 10 9 9 9 9 10 10 10 11 12 14 15 15 14 12 11 11 11 12 14 16 18 18 18 17 15 12 10 9 8 9 9 9 9 9 10 11 10 9 9 10 11 12 13 13 10 9 9 12 18 24 29 32 32 29 25 22 18 14 11 10 10 10 11 11 11 10 9 9 8 8 8 7 7 7 8 8 9 10 10 11 11 10 10 11 11 11 11 11 11 nan
nan 10 10 10 10 10 9 8 7 7 8 8 8 8 9 9 8 8 8 9 10 10 10 9 9 10 10 10 10 11 12 13 14 15 15 13 11 9 9 10 12 13 15 17 17 17 16 14 12 11 10 9 9 9 9 9 9 9 11 11 12 12 11 12 12 12 10 8 7 9 13 19 25 30 32 31 29 26 23 19 15 12 10 8 9 9 10 11 10 10 9 9 8 8 7 7 6 6 6 7 8 9 10 10 11 11 11 12 12 13 13 13 nan
nan 9 9 10 9 9 8 7 6 7 7 7 7 8 9 9 9 8 8 9 10 10 10 10 10 10 10 10 11 11 13 14 15 15 13 10 9 8 9 9 11 12 13 15 16 17 16 15 14 13 11 10 10 10 10 9 9 9 10 10 11 10 10 10 10 11 10 8 7 7 9 13 20 26 29 29 28 26 23 20 16 13 10 8 8 8 9 10 10 10 10 10 9 9 8 8 7 7 6 6 6 7 7 8 9 10 10 11 12 12 13 14 nan
nan 9 8 8 7 7 7 6 6 6 6 6 7 9 10 10 9 8 9 10 10 10 10 10 10 10 10 10 11 12 13 14 15 14 11 9 7 7 6 7 9 11 12 13 14 15 15 15 16 15 13 11 11 10 10 10 9 9 9 9 8 7 7 7 8 9 9 8 5 2 2 4 11 18 24 27 28 26 24 21 17 15 12 10 8 8 8 9 10 10 10 11 11 11 11 10 10 9 9 8 8 7 7 7 7 8 8 9 9 10 11 12 nan
nan 8 6 5 5 6 6 7 7 7 7 9 11 12 11 9 8 8 9 10 10 10 10 9 9 9 9 10 10 12 12 13 13 12 9 7 6 4 3 5 8 11 11 12 12 13 13 15 16 15 14 13 11 10 9 10 10 10 10 8 7 6 6 7 8 8 7 6 3 0 -1 2 8 15 21 26 27 27 25 21 19 16 13 12 10 9 9 9 9 10 11 11 12 13 13 13 13 13 13 13 12 11 11 10 9 9 8 8 7 8 8 9 nan
nan 6 5 5 6 7 8 9 9 9 10 11 13 12 10 8 7 8 9 10 10 9 9 9 9 9 9 9 10 10 11 11 11 10 8 6 4 1 1 4 7 11 12 11 11 11 12 14 15 15 14 13 11 10 9 9 10 11 11 10 9 8 7 7 8 8 6 4 2 1 2 6 11 17 22 26 27 27 25 23 20 17 15 13 12 10 10 10 10 10 11 12 13 13 14 15 16 16 16 17 17 17 16 16 15 14 13 12 11 10 9 8 nan
nan 6 6 8 9 11 10 10 10 11 11 12 11 10 8 7 7 8 9 10 9 9 9 9 9 9 8 8 8 9 9 10 10 9 7 5 3 1 1 4 7 10 11 11 11 11 13 14 14 14 15 14 12 11 10 9 9 10 11 12 12 10 9 8 7 7 5 4 3 3 6 10 14 19 23 26 27 27 26 23 20 17 15 14 12 11 11 10 10 10 11 11 12 13 14 15 16 16 16 17 18 19 20 20 20 20 21 21 21 19 17 15 nan
nan 8 10 11 11 10 9 9 10 11 10 9 9 9 8 7 7 8 9 10 9 8 8 8 8 7 6 6 7 8 9 10 10 9 7 4 2 2 2 4 7 10 11 12 12 12 13 13 14 15 16 15 14 12 10 9 9 10 11 13 14 13 11 9 7 6 5 5 5 6 8 11 14 19 23 26 27 26 26 24 21 17 15 13 12 11 11 10 10 9 9 9 10 11 12 13 13 14 14 14 15 16 18 19 20 22 24 27 29 28 27 25 nan
nan 9 10 9 8 7 7 8 9 9 7 6 7 8 8 8 7 8 9 9 9 9 9 9 8 7 7 8 9 10 11 11 10 9 6 4 3 2 3 5 8 10 12 12 12 12 12 12 14 16 16 16 15 13 11 10 9 9 11 13 13 13 12 9 8 7 7 7 8 8 9 11 14 19 23 25 26 26 25 23 20 18 14 12 10 10 10 9 9 8 7 8 8 9 9 9 10 10 10 10 11 11 12 14 16 18 21 25 28 29 30 29 nan
nan 8 8 7 6 7 8 9 9 8 6 6 7 8 8 7 7 6 7 9 10 11 11 10 8 8 9 11 12 12 12 11 10 7 5 4 3 3 5 7 9 11 12 12 12 12 11 12 14 16 16 15 15 13 12 11 10 9 10 11 12 12 11 9 9 9 9 9 9 9 9 11 14 19 22 24 25 25 24 22 20 17 14 11 10 9 9 9 8 7 7 6 6 7 7 7 7 8 8 8 8 8 9 9 11 12 14 17 20 21 22 22 nan
nan 8 8 8 9 10 11 11 10 8 7 8 8 9 8 7 6 6 8 11 12 12 10 8 8 8 9 10 11 11 11 10 8 6 4 4 4 5 7 9 11 12 12 12 12 12 12 13 14 14 15 15 14 13 12 11 10 9 9 10 10 11 10 10 10 10 10 9 9 9 10 12 15 18 21 23 25 25 24 22 20 16 13 11 10 9 8 8 7 7 6 6 6 6 5 5 6 7 7 7 7 7 8 7 8 8 9 10 11 12 13 13 nan
nan 9 10 10 11 12 12 10 8 8 8 9 10 10 9 8 8 8 10 12 12 10 7 6 6 7 8 9 9 9 9 7 6 5 5 7 8 9 10 11 12 12 12 11 11 11 12 12 13 14 14 15 14 13 13 12 9 8 8 9 9 10 10 10 10 10 8 8 8 9 10 12 15 17 20 23 24 25 24 22 19 17 14 12 11 9 8 8 7 7 7 6 6 6 5 5 6 6 7 7 7 7 8 8 7 7 7 7 7 8 8 8 nan
nan 10 10 10 11 10 9 7 7 8 9 11 11 11 10 9 9 9 11 10 9 6 5 6 7 8 9 9 9 9 8 7 7 8 10 11 13 13 14 14 14 12 11 10 10 10 11 11 12 13 14 15 14 13 12 11 9 9 9 9 9 9 10 10 9 8 7 7 8 10 11 12 14 16 19 22 24 24 23 22 20 18 16 14 11 10 9 9 8 8 7 7 6 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 7 7 nan
nan 10 10 10 9 8 7 7 8 10 11 12 11 11 11 10 10 10 10 9 7 6 7 8 9 10 11 11 10 10 9 10 11 13 14 15 16 16 17 17 16 13 11 9 8 9 9 9 10 11 13 13 13 13 12 10 10 9 9 10 10 10 10 10 9 8 8 8 9 10 11 12 13 16 19 21 23 24 23 22 21 19 17 15 13 12 11 10 9 8 8 7 7 7 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 nan
nan 10 10 10 9 9 8 9 10 12 12 12 12 12 12 11 11 11 11 11 10 9 10 10 11 12 12 13 13 13 14 15 16 18 18 18 18 19 20 20 18 15 11 9 8 8 7 7 8 10 11 12 13 13 11 11 10 9 9 10 10 10 10 10 9 9 8 7 8 9 11 12 13 16 18 20 23 24 24 22 21 20 18 17 15 13 12 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 8 nan
nan 11 10 9 8 7 7 8 9 10 11 11 11 12 12 11 12 13 13 13 12 12 12 13 13 14 14 15 15 16 17 17 18 18 18 19 20 20 21 21 19 15 11 8 7 7 7 7 7 8 10 12 13 13 11 10 9 9 9 10 10 10 10 10 10 9 7 5 7 8 10 12 14 15 17 20 23 24 24 23 22 20 19 18 16 14 13 11 10 10 9 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 9 nan
nan 8 6 4 3 2 2 4 6 6 6 7 9 11 11 12 13 15 15 14 13 13 14 15 16 16 16 16 15 16 16 16 15 15 16 16 17 18 17 17 16 13 11 9 8 8 8 8 8 9 10 12 14 12 11 9 8 9 10 10 10 10 10 10 9 8 6 5 5 7 9 11 13 15 17 21 23 24 24 23 22 21 19 18 17 15 14 13 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 nan
nan 3 1 -0 -0 1 3 5 6 5 5 5 7 9 10 12 13 13 13 12 12 13 14 15 15 15 15 15 14 14 13 13 13 13 13 13 13 12 11 11 11 11 11 11 11 10 11 10 10 10 11 13 13 12 11 9 8 9 10 11 10 9 9 9 8 7 6 5 5 5 7 10 12 15 18 21 23 24 25 24 22 21 20 19 18 17 15 14 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 9 nan
nan 2 1 2 4 7 9 10 10 9 8 8 9 10 10 10 10 11 12 12 12 13 14 13 13 13 12 12 13 13 12 12 12 12 12 11 9 7 6 7 9 11 12 14 14 14 13 12 11 11 11 12 12 12 11 10 10 10 11 11 10 9 8 8 7 7 7 6 5 4 6 8 12 16 19 21 23 25 26 25 24 22 20 18 18 17 16 15 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 nan
nan 7 7 9 11 12 13 13 13 13 13 12 12 11 10 10 11 14 15 14 13 12 12 11 11 11 11 12 12 12 12 12 12 12 11 9 7 5 5 7 9 11 12 14 15 16 15 13 12 11 11 11 12 12 12 11 11 11 11 10 10 9 8 8 7 8 8 7 5 5 5 7 12 17 19 21 23 26 27 27 25 23 20 19 18 17 17 16 14 13 12 10 9 9 8 8 8 8 8 8 8 8 7 7 7 7 6 4 1 -0 -0 1 nan
nan 11 11 12 13 14 14 14 15 15 14 13 12 11 11 12 15 18 18 16 13 11 10 9 9 10 11 12 12 11 11 11 11 10 9 8 7 7 8 10 11 11 11 12 14 15 15 14 12 11 11 11 12 13 13 12 12 11 11 10 10 9 8 8 8 8 8 8 7 6 6 8 13 16 19 21 23 25 27 28 27 25 22 19 17 16 17 16 15 14 13 11 10 9 8 8 8 8 8 8 7 7 7 6 6 4 1 -2 -3 -4 -3 -1 nan
nan 12 13 13 14 15 15 16 17 17 15 13 12 11 12 14 17 19 18 15 12 10 8 8 9 10 11 11 11 10 10 10 10 9 9 9 9 10 12 13 11 10 9 10 13 15 16 14 12 11 11 12 14 14 14 13 12 11 10 9 9 9 9 8 8 8 8 8 9 8 8 11 14 16 17 18 20 22 25 28 29 27 25 21 17 16 16 16 16 15 14 13 12 10 9 9 8 8 8 7 7 7 6 5 3 -1 -4 -5 -4 -3 -0 3 nan
nan 13 14 15 17 19 19 19 19 18 14 11 11 11 12 14 16 18 17 14 12 10 9 9 10 11 11 10 10 9 9 10 10 10 10 10 11 13 14 13 10 7 6 8 13 16 16 14 12 11 11 13 14 15 14 13 11 10 8 8 7 8 8 8 9 8 8 9 9 10 10 12 14 15 15 14 15 17 21 25 27 29 28 24 19 17 15 15 15 15 15 14 13 12 11 10 10 9 8 8 8 7 6 3 -1 -5 -7 -5 -2 2 4 6 nan
nan 13 15 17 19 21 21 20 20 17 12 10 10 11 13 15 17 19 18 15 12 11 11 11 12 11 10 10 9 9 10 10 10 10 11 11 12 13 12 9 6 3 3 7 12 16 16 13 11 10 11 12 13 14 14 14 12 10 8 6 6 6 7 8 9 9 9 9 9 10 11 12 13 13 12 11 12 13 16 20 24 28 30 28 24 20 16 14 14 14 14 14 14 13 13 12 12 11 10 10 9 8 6 3 -3 -8 -7 -3 1 5 7 8 nan
nan 13 14 15 18 18 17 17 17 15 12 11 12 13 16 19 20 20 17 14 12 12 11 11 11 10 10 9 10 9 10 10 10 10 10 11 11 11 8 5 1 -1 1 6 11 15 15 13 11 10 10 11 12 12 13 14 14 12 9 7 6 5 6 7 9 9 10 9 9 10 11 11 12 12 11 11 11 12 13 16 20 26 30 30 29 23 17 15 13 13 13 13 13 14 14 14 14 13 13 12 11 10 8 3 -4 -7 -6 -2 3 6 7 8 nan
nan 12 13 14 15 15 15 15 16 15 14 14 14 16 18 20 20 18 15 13 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 9 8 5 2 -0 -1 2 6 10 13 13 13 12 11 10 10 10 11 13 14 15 14 12 9 7 6 6 7 8 9 9 9 10 10 11 11 11 11 11 11 11 11 12 13 17 22 25 27 27 22 18 16 14 14 13 13 13 13 14 14 15 15 15 15 13 12 9 2 -5 -7 -5 -0 4 7 8 8 nan
nan 14 14 15 15 15 15 16 16 16 16 15 15 16 17 17 16 14 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 4 2 1 2 3 6 8 11 12 12 12 11 11 10 10 11 13 15 15 15 13 11 9 7 7 8 8 9 9 9 9 10 10 11 10 10 10 11 11 11 11 12 14 16 18 20 19 18 17 16 16 17 16 15 13 12 13 14 15 16 16 16 15 14 9 2 -3 -6 -4 0 5 7 8 9 nan
nan 15 15 15 14 14 15 16 16 16 15 15 14 14 14 13 13 12 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 6 5 4 5 5 5 7 9 11 12 12 11 11 10 11 12 13 14 15 15 14 12 11 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 11 12 12 12 12 13 15 14 15 15 17 18 19 18 16 14 13 14 14 14 14 15 15 15 13 9 4 -0 -3 -3 0 4 7 8 9 nan
nan 14 13 12 12 12 13 14 14 14 14 13 13 12 12 12 12 11 11 11 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 5 4 4 6 8 10 11 11 11 11 10 10 12 13 14 14 14 14 12 11 10 9 9 9 9 8 8 9 9 10 10 10 10 11 11 11 11 12 12 12 12 13 14 14 15 17 18 19 18 16 15 14 14 15 14 14 14 14 14 13 11 9 5 1 -1 -2 -1 2 5 7 8 nan
nan 12 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 11 12 13 13 13 12 11 11 11 10 10 10 10 9 9 9 8 8 7 6 4 3 1 2 4 7 9 10 11 11 10 10 9 10 11 13 14 13 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 13 14 13 14 16 17 17 17 17 16 15 15 15 15 15 15 14 14 14 13 11 8 5 3 2 1 1 1 3 5 7 nan
nan 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 10 12 13 14 14 13 13 12 12 12 11 11 10 9 8 7 6 6 6 5 4 2 -0 -0 1 3 6 8 9 10 10 10 9 8 8 10 12 12 12 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 13 13 13 14 15 15 16 16 17 17 17 17 17 16 16 15 15 16 16 16 13 9 6 6 6 6 5 5 5 7 8 nan
nan 10 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 10 11 13 14 14 12 12 12 12 12 12 11 10 9 8 7 6 5 5 5 4 3 1 -0 0 2 4 6 8 9 9 9 9 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 12 12 12 12 12 13 14 14 14 14 15 16 16 17 18 18 17 16 16 18 20 21 20 16 10 8 8 11 13 13 12 12 12 11 nan
nan 11 11 11 11 11 10 9 9 10 10 10 10 10 10 9 9 10 11 13 14 14 12 12 12 12 12 11 10 9 9 9 9 8 8 7 6 5 4 3 2 2 3 5 6 8 10 10 10 9 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 12 13 13 13 14 14 14 15 15 16 17 17 17 17 19 21 22 22 19 13 9 8 9 12 16 19 20 19 18 16 nan
nan 11 11 11 11 10 9 9 9 10 10 10 11 11 10 10 10 11 12 12 13 13 13 13 13 13 12 11 10 10 10 10 10 10 10 10 8 7 5 5 5 5 6 8 9 11 11 11 10 9 8 8 8 7 7 6 6 7 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 12 12 12 13 13 13 14 14 14 15 15 16 17 19 20 21 20 16 11 7 4 4 6 9 13 17 19 20 20 20 nan
nan 10 11 11 11 10 9 9 9 10 10 11 11 11 10 10 10 11 11 12 13 13 13 14 14 14 13 13 12 12 12 12 11 11 11 11 10 9 9 9 9 10 10 11 12 12 11 9 9 8 8 8 8 8 7 6 6 7 7 8 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 13 13 13 13 13 13 14 14 15 17 18 19 18 16 11 8 5 4 2 3 4 6 8 11 13 16 19 nan
nan 11 11 11 11 10 9 9 10 10 10 11 10 10 10 10 11 11 12 12 13 13 14 14 15 15 15 16 15 14 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 12 10 9 9 8 9 9 9 9 7 7 7 8 8 9 9 9 10 11 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 13 13 13 13 13 13 13 14 15 16 17 17 16 14 12 10 9 7 6 5 4 3 3 4 6 8 12 nan
nan 11 11 11 10 9 8 9 10 10 10 10 10 10 11 12 12 13 13 13 13 13 14 15 16 17 17 17 16 15 14 14 14 14 15 15 15 15 15 15 15 15 15 14 13 12 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 11 12 12 12 11 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 12 12 12 12 12 12 13 13 13 14 15 15 15 15 14 14 13 11 10 9 8 7 6 5 5 5 5 6 nan
nan 12 11 10 9 8 8 9 10 10 10 10 11 12 13 14 14 14 13 13 12 12 14 15 16 17 17 17 16 16 16 16 17 17 18 18 18 18 17 16 15 15 14 14 13 12 11 10 9 8 8 8 9 9 9 10 10 10 10 9 9 11 12 13 13 12 11 11 11 11 10 10 10 10 10 11 11 10 10 9 9 10 11 11 11 11 12 12 12 12 12 12 13 13 13 14 14 14 14 14 13 11 11 11 10 10 10 9 9 8 7 5 nan
nan 12 11 10 8 8 9 10 10 10 10 11 13 15 16 16 15 14 12 12 12 12 13 14 15 15 15 15 15 16 16 17 18 19 20 20 20 19 18 17 15 14 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 11 12 13 13 13 12 11 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 10 10 9 8 nan
nan 12 11 10 8 9 9 10 11 11 12 13 15 15 15 14 13 12 11 11 11 12 13 13 13 13 13 13 14 14 15 16 17 18 19 19 19 19 18 16 15 13 12 12 12 12 12 12 12 13 13 12 12 11 10 9 9 9 10 11 12 12 13 13 12 12 11 11 10 10 10 10 10 11 12 12 12 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 12 12 12 12 12 12 12 11 11 11 10 9 nan
nan 12 11 10 9 10 10 11 11 12 13 14 15 14 13 12 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 15 16 16 16 16 15 14 13 12 12 12 13 13 13 13 13 14 14 13 12 11 10 8 9 9 10 11 12 13 13 13 12 12 11 11 10 10 10 10 10 11 12 13 12 11 10 9 8 8 9 9 10 11 12 12 13 13 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 nan
nan 12 11 10 10 11 12 12 12 12 13 14 14 13 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 14 13 13 13 12 12 12 12 13 13 13 13 14 14 14 14 13 13 12 10 10 10 10 11 12 12 12 13 12 13 12 12 12 11 11 11 10 11 11 12 12 12 11 10 9 9 8 8 9 10 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 nan
nan 12 12 11 12 12 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 13 13 13 13 12 12 12 12 12 12 12 12 13 12 12 12 12 11 11 11 12 12 13 13 13 13 14 15 15 15 15 15 14 13 12 10 10 11 11 12 12 12 12 12 12 13 12 12 12 11 10 10 10 11 11 11 12 12 11 11 10 9 10 10 10 12 13 13 13 13 12 12 12 12 11 11 11 10 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 13 13 13 12 12 12 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 10 11 12 12 12 11 12 13 15 17 17 16 17 17 17 16 13 11 10 11 12 13 13 12 12 12 12 12 12 12 11 11 10 10 10 10 11 12 13 13 13 12 11 11 11 11 12 12 13 13 13 13 13 13 13 12 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 12 12 12 13 13 12 12 11 11 12 12 12 12 11 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 10 11 12 12 11 10 10 11 13 16 17 16 16 16 17 18 17 15 13 13 13 14 14 13 13 12 12 12 11 11 11 11 10 10 10 10 10 11 12 13 13 12 12 11 11 11 12 12 12 12 12 12 13 13 14 13 11 10 9 9 10 10 10 11 12 12 12 12 12 12 12 13 12 12 nan
nan 12 12 12 13 12 12 12 11 11 12 12 12 12 12 11 11 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 9 10 13 15 15 15 14 15 16 17 18 17 16 16 16 16 16 15 14 14 13 12 11 10 9 10 10 10 11 11 11 11 12 12 12 11 10 10 11 11 12 12 12 12 12 12 12 13 12 11 10 9 9 9 10 10 10 11 11 11 12 12 12 13 13 13 12 12 nan
nan 11 12 12 12 12 12 11 11 11 11 12 12 12 12 11 11 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 12 13 13 13 13 13 14 16 17 17 17 17 17 17 16 16 16 16 16 14 12 10 9 9 9 10 11 11 12 12 12 11 11 10 10 10 10 11 12 12 12 12 12 12 12 11 10 10 10 9 9 9 9 9 10 11 11 11 12 12 12 13 13 13 13 12 nan
nan 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 14 14 14 13 13 13 14 14 14 14 15 16 18 18 17 15 12 10 10 10 10 11 11 11 12 11 11 10 10 10 10 10 11 11 12 13 13 12 12 12 11 10 10 9 8 9 10 9 9 10 10 10 11 12 12 12 13 13 13 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 12 13 14 15 15 14 12 11 10 9 9 9 9 9 10 12 14 16 18 17 15 13 11 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 12 12 11 11 9 10 10 10 9 9 10 10 10 11 11 11 12 13 13 13 13 13 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 15 15 15 13 11 10 8 7 6 6 5 5 5 6 8 12 16 16 16 15 13 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 11 11 12 13 13 13 13 12 11 11 10 9 9 10 10 9 10 10 10 11 13 13 14 14 14 14 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 15 14 12 10 9 8 6 5 4 3 3 2 3 6 9 11 14 16 16 15 14 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 9 9 9 10 9 9 10 10 10 12 12 13 14 15 15 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
CAPE
9 8 7 7 8 8 6 5 5 5 6 7 6 4 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 4 6 5 7 29 69 118 160 179 161 127 96 71 47 29 15 7 4 5 5 7 11 14 16 14 15 20 26 27 22 17 14 10 6 5 26 79 134 173 180 175 170 166 163 161 153 150 152 158 164 159 159 168 186 207 228 264 297 330 363 414 470 516 555 597 657 703 695 645 571 504 446 398 365 347 339
9 7 7 8 9 8 6 6 6 6 6 7 6 5 4 4 3 3 2 1 0 0 1 1 1 0 0 0 0 0 0 0 0 2 2 2 3 4 5 6 7 21 52 104 154 177 169 142 108 76 48 30 18 8 4 6 6 8 13 20 24 20 16 18 23 27 24 20 16 13 8 3 16 51 103 160 175 176 170 163 157 147 137 131 133 139 143 141 141 150 165 188 217 252 283 310 334 374 412 450 489 540 618 661 662 623 543 475 414 362 327 307 298
8 8 7 8 10 9 8 7 6 6 6 6 6 5 4 5 3 2 2 1 1 0 1 1 1 1 0 0 0 0 0 0 0 1 2 2 2 5 6 8 9 14 29 89 141 168 166 142 110 75 49 32 20 12 8 7 9 13 18 24 27 24 17 13 18 24 26 24 19 15 9 5 8 25 65 123 155 167 167 160 147 132 124 124 131 143 147 147 148 152 163 186 218 253 283 305 326 351 378 407 447 512 574 613 610 562 497 432 371 321 288 269 262
10 8 8 7 8 7 7 7 7 6 6 6 5 4 6 4 3 2 2 2 1 1 1 1 1 1 1 0 0 0 0 0 0 1 1 2 1 4 5 7 9 11 22 75 130 165 167 134 101 71 47 31 24 20 17 15 16 18 20 25 29 27 19 13 14 20 26 28 22 18 12 7 2 3 35 79 118 146 155 151 139 126 118 117 134 151 164 172 173 169 173 186 209 240 270 293 315 340 371 397 431 475 524 562 550 502 445 384 325 286 262 246 243
10 9 9 8 7 6 7 7 7 6 7 6 5 4 4 3 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 1 1 2 1 1 2 4 7 11 13 27 65 117 167 165 130 97 69 47 35 33 30 26 21 19 21 21 24 26 22 19 13 10 14 23 28 25 20 15 10 2 0 15 41 73 114 130 132 125 116 107 108 124 144 165 183 177 167 162 165 179 206 236 262 288 320 357 386 413 441 479 508 486 442 390 340 290 261 245 237 236
10 10 9 8 7 7 6 6 5 5 6 6 4 5 4 3 3 2 3 3 3 2 2 2 1 0 0 0 0 0 0 0 0 1 3 1 1 2 4 6 12 17 32 61 106 167 162 136 101 70 53 45 41 36 29 22 20 19 19 22 28 22 16 9 6 8 18 23 23 22 18 14 6 2 4 12 28 69 94 104 102 96 90 92 105 126 145 155 149 137 125 119 137 164 194 224 254 292 331 363 381 385 411 420 402 368 339 300 262 237 224 218 226
8 8 8 8 7 7 6 5 4 4 5 7 6 5 4 3 2 2 3 3 3 3 2 2 1 0 0 0 0 0 0 0 0 1 1 2 1 2 3 5 8 16 34 68 119 164 170 149 112 82 69 56 43 29 21 19 18 18 19 19 25 21 14 6 3 4 11 16 20 23 21 17 11 5 1 0 8 30 56 79 77 74 70 72 87 115 130 131 121 105 90 84 96 122 160 197 228 264 297 318 324 321 327 334 331 303 287 259 227 203 200 205 227
7 6 6 7 7 6 5 4 3 4 4 5 5 4 4 3 3 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 1 1 2 1 2 3 5 12 31 81 138 174 182 163 123 101 86 69 48 23 18 16 15 17 21 13 17 17 11 3 2 2 5 9 17 23 23 20 15 8 1 0 2 9 27 62 62 56 51 54 71 97 113 117 107 86 70 63 67 88 133 170 206 241 272 289 286 280 276 275 278 267 256 236 213 198 204 220 247
8 7 6 6 5 6 5 3 2 3 4 6 6 6 6 5 4 4 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 0 1 1 1 1 1 4 10 26 85 143 182 192 175 141 120 106 90 61 35 22 15 11 10 12 10 9 8 4 1 1 2 3 7 16 21 24 22 18 11 5 1 0 3 14 36 40 37 35 37 50 66 83 95 91 75 60 50 50 67 107 143 178 214 252 271 277 275 269 261 262 259 252 238 226 226 237 255 275
9 8 7 6 6 5 4 3 3 4 4 5 6 6 6 6 6 5 5 4 4 3 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 26 70 128 179 191 171 147 129 115 98 68 46 31 21 11 7 6 5 4 4 2 3 5 5 5 9 15 20 24 26 20 13 6 2 0 0 7 13 14 19 25 28 32 37 47 70 72 67 56 44 41 58 84 113 143 174 208 234 252 264 265 264 268 271 267 251 244 249 266 284 293
10 9 8 7 6 5 4 4 4 4 4 4 5 6 6 6 7 6 6 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 16 44 91 152 164 151 131 111 93 69 51 43 37 29 17 10 7 5 4 3 4 4 6 9 7 9 13 19 25 27 21 13 6 2 0 0 1 1 3 11 19 23 24 23 26 43 53 57 53 42 39 45 61 87 114 137 153 175 203 227 242 253 263 269 267 256 249 253 270 285 289
10 9 8 8 7 5 5 5 5 4 5 5 5 6 6 6 6 6 6 5 6 5 3 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 5 19 51 104 129 124 103 85 70 52 37 31 34 34 28 20 13 8 8 8 7 6 6 10 10 11 14 20 26 27 21 13 5 2 0 0 0 0 0 6 11 14 15 12 14 21 31 39 39 31 26 27 37 64 94 123 147 165 183 204 224 238 242 248 246 240 236 239 254 270 274
9 8 7 7 6 5 6 6 6 5 4 4 5 5 5 4 5 6 7 6 7 7 5 3 2 1 0 0 0 0 1 1 1 0 0 0 0 1 1 1 0 0 1 8 29 73 108 113 89 72 60 46 29 17 22 33 41 40 30 33 32 24 16 12 10 10 11 12 16 22 28 29 23 13 5 2 0 0 0 0 0 1 2 3 3 3 3 6 12 22 23 19 14 11 18 40 69 104 144 176 192 201 208 215 219 221 215 208 208 216 230 245 254
8 7 6 6 7 7 6 6 6 5 5 5 5 5 4 4 5 6 7 8 8 7 6 6 5 4 2 1 0 0 0 0 1 1 0 0 0 0 1 1 1 1 1 4 28 71 106 115 95 76 59 41 22 10 15 31 47 55 49 51 49 40 28 22 17 13 12 17 24 31 36 36 29 16 7 2 0 0 0 0 0 0 0 0 0 0 0 1 3 7 10 10 7 5 10 22 42 71 108 143 170 184 183 179 177 182 182 173 175 187 210 232 244
9 8 8 8 8 8 7 6 5 5 4 3 4 4 4 5 6 7 8 9 9 8 8 8 6 4 3 2 2 2 1 1 1 2 1 1 0 1 3 3 3 3 3 12 36 73 106 115 100 81 61 42 27 17 13 23 43 55 57 56 52 46 38 34 27 22 22 27 35 41 44 42 33 19 8 2 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 2 2 5 11 23 41 65 95 124 144 147 142 137 139 149 149 150 165 191 218 233
10 9 9 10 10 10 9 8 6 5 4 3 3 4 5 7 10 10 11 11 10 10 10 9 7 6 5 3 3 3 2 1 0 1 2 1 1 2 4 6 6 4 5 7 25 56 90 109 102 85 65 44 30 18 10 13 32 45 51 51 47 44 42 44 42 36 35 37 42 46 48 45 34 21 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 13 23 31 48 73 90 100 106 109 112 120 127 136 151 174 202 220
10 9 9 10 11 11 10 8 6 5 4 4 5 6 7 10 13 14 14 13 11 10 9 8 7 7 6 5 5 4 2 1 1 1 2 2 2 5 8 8 7 5 4 5 12 32 63 98 106 92 71 51 34 19 10 9 20 35 43 43 39 37 37 41 46 47 43 40 43 48 49 45 36 23 10 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 10 18 23 26 39 48 56 65 76 85 93 101 115 137 164 186 199
11 10 9 10 11 11 10 9 7 5 5 6 7 8 9 12 15 16 16 14 10 9 8 7 7 7 6 6 5 4 2 1 1 1 2 4 6 9 11 9 6 3 2 2 5 15 40 74 98 99 83 65 47 30 18 13 15 24 33 36 36 35 35 37 41 45 46 46 48 50 48 45 38 27 12 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 7 14 19 26 34 36 34 35 48 60 68 76 88 104 122 140 154
13 12 11 12 12 12 11 9 8 7 7 8 8 9 11 12 14 14 14 13 11 9 9 8 9 8 7 6 5 3 2 2 2 2 3 5 9 11 11 8 5 3 2 1 2 5 21 48 80 105 91 76 61 46 34 24 20 21 26 32 37 40 40 40 41 42 44 47 48 48 45 42 37 28 16 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 9 18 30 38 40 37 35 38 43 50 57 66 74 82 92 103
14 13 13 14 12 12 10 9 8 8 8 8 9 10 11 12 12 12 11 11 11 11 11 10 11 10 9 8 6 4 2 1 1 2 3 4 6 8 8 7 5 3 2 1 1 2 9 25 49 97 102 89 78 65 51 38 28 23 24 30 38 44 46 44 38 36 36 39 42 47 46 42 37 31 20 9 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 14 25 33 36 36 32 32 35 39 50 58 63 66 69 73
14 14 14 14 13 12 11 10 9 8 8 8 9 10 12 12 12 13 13 13 13 13 13 13 14 13 12 9 8 5 3 2 1 2 2 2 3 5 6 6 4 3 2 1 0 1 3 7 14 53 85 96 93 80 62 44 32 26 24 30 39 46 48 45 39 34 33 36 39 43 45 41 36 32 23 11 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 6 11 14 16 19 23 25 27 31 41 53 60 62 60 61
15 15 15 15 14 13 12 10 9 8 8 9 10 11 12 13 14 15 16 16 15 15 15 15 15 15 14 12 10 8 5 3 2 2 2 1 1 3 3 3 3 4 3 2 1 0 0 1 5 24 56 88 93 83 65 47 34 29 28 32 40 49 51 50 46 41 38 39 39 39 37 34 31 29 23 12 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 3 6 11 13 17 25 34 43 50 51 49
15 15 15 14 14 14 13 12 10 9 9 9 10 12 13 14 17 18 17 16 16 16 16 16 16 16 16 14 12 10 9 6 4 3 2 1 2 2 2 2 3 4 3 2 1 0 0 1 3 10 27 67 81 78 65 47 34 30 30 34 40 49 55 58 59 55 49 44 40 36 35 34 33 30 24 14 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 1 2 4 8 11 15 24 31 33
15 15 14 14 14 14 15 13 12 10 9 10 11 13 14 16 18 18 17 16 15 15 16 17 17 18 17 16 15 13 12 9 6 4 3 2 2 2 2 2 4 4 4 3 3 1 0 0 1 3 11 42 65 73 63 44 33 30 32 34 41 49 57 65 69 65 56 45 36 33 37 41 41 37 26 14 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 1 1 2 4 8 10
17 15 14 14 14 15 15 15 14 13 11 12 13 15 17 19 21 20 18 17 16 15 16 18 19 19 19 18 15 13 12 10 8 7 5 4 4 3 2 2 3 4 3 3 3 2 1 0 0 2 7 26 51 74 65 46 34 31 36 37 42 49 56 65 71 67 60 51 43 37 40 45 47 40 28 15 5 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 0 0 1 0 0 0 0 0 0 1
18 15 14 15 18 19 19 18 17 15 13 13 16 18 21 24 25 24 21 18 17 17 17 19 20 20 19 18 15 13 11 10 9 8 6 5 4 4 2 1 2 2 3 3 3 2 1 0 0 1 6 19 42 68 63 48 36 32 39 40 42 46 52 63 67 67 65 60 56 51 46 45 47 40 28 15 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 7 6 7 11 6 4 3 3 1 0 0 0
18 16 16 17 21 22 22 21 20 17 15 15 17 21 24 27 28 26 23 20 19 20 21 21 21 19 17 15 13 11 9 8 8 7 6 6 5 4 2 1 1 2 3 3 4 3 2 0 0 1 4 13 43 64 65 54 39 34 37 40 41 42 46 55 63 68 68 65 60 52 43 41 44 40 30 14 3 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 15 27 40 34 29 29 26 16 11 7 4
18 17 18 19 22 23 23 22 20 17 16 17 19 23 26 28 29 27 25 23 22 22 22 23 22 20 17 14 13 10 9 8 8 7 7 6 6 4 2 1 1 2 3 4 4 4 3 1 1 0 2 7 39 63 72 64 46 38 35 35 35 35 39 47 57 67 68 63 55 44 31 34 38 39 31 13 4 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 13 32 55 66 71 77 73 57 42 36 35
17 17 18 20 22 24 24 23 20 19 19 20 23 27 29 31 31 29 27 25 25 25 25 26 25 22 19 15 14 12 10 8 8 8 7 5 4 2 1 0 1 2 3 3 4 4 3 2 1 0 1 12 40 68 84 75 56 41 30 25 30 30 32 39 52 63 63 56 48 41 28 28 32 33 28 12 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 8 23 42 61 81 98 98 86 72 69 67
17 18 20 22 23 25 26 24 23 22 22 24 26 28 31 33 34 32 30 30 30 31 32 31 29 26 22 18 15 13 11 9 8 6 5 2 1 0 0 0 1 1 2 3 5 4 3 3 1 0 3 15 41 76 90 83 67 47 27 20 23 27 31 35 50 59 60 55 44 37 29 23 22 23 17 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 0 1 2 8 17 25 36 59 73 70 66 68 67
17 20 23 25 26 27 27 26 26 27 29 30 31 32 33 35 35 35 35 36 39 40 38 36 34 30 24 19 15 13 11 8 5 3 1 1 0 0 0 0 0 1 2 3 4 4 4 3 1 2 4 10 26 69 85 84 71 47 27 18 16 20 29 35 46 55 58 52 39 27 18 11 8 9 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 1 2 4 7 18 30 38 35 35 39
20 25 27 28 27 27 28 30 33 36 37 38 39 38 38 38 37 38 40 46 45 43 40 36 31 23 19 15 13 10 8 6 4 2 1 0 0 0 0 0 0 1 1 2 3 4 4 4 3 3 5 9 12 45 68 75 62 34 19 12 10 12 23 31 39 45 47 35 23 14 8 4 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 1 4 8 14 14 10 11
24 29 30 30 31 33 38 43 44 46 47 47 47 47 44 42 40 41 44 46 43 39 34 27 20 14 11 10 9 9 7 5 4 3 2 1 1 1 1 3 5 5 5 6 6 6 7 6 5 5 6 9 12 27 45 53 35 17 8 6 9 12 17 22 25 25 23 16 9 5 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 2 3 1 1
28 31 33 34 39 46 56 63 59 57 54 55 59 57 50 44 40 40 46 46 41 34 25 17 13 11 9 9 9 8 6 5 5 4 4 3 2 2 4 7 11 14 16 17 17 15 12 9 7 6 6 8 11 16 21 23 10 4 2 2 5 7 8 9 8 5 4 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 0 0 0 0 0 0 0 0 0 0
27 29 33 38 44 48 51 53 55 58 59 61 66 56 50 43 37 40 44 43 37 28 18 13 11 11 12 12 11 9 7 6 6 6 5 4 4 3 4 6 9 12 17 20 19 16 13 10 7 6 5 6 9 12 15 9 3 0 0 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 0 0 0 0 0 0
25 28 33 35 36 37 38 40 43 45 45 44 40 39 39 39 40 43 43 40 33 23 16 13 11 11 13 12 11 9 8 7 7 6 5 4 4 4 3 3 5 8 12 14 12 10 8 6 5 4 3 4 6 9 9 5 2 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
17 20 22 24 25 27 29 30 31 31 30 28 26 25 27 32 41 47 44 36 28 21 16 14 13 11 10 10 9 8 7 6 6 7 7 5 4 4 3 3 3 5 8 9 8 5 4 4 3 3 3 4 5 7 6 3 1 0 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 0 0 0 0 0 1 3 4 3
12 13 15 17 18 20 21 20 20 20 18 16 15 16 19 26 35 42 41 32 26 20 17 17 15 13 10 9 8 7 7 6 6 7 7 6 5 4 3 2 3 5 6 6 6 4 3 2 3 3 3 4 5 5 4 3 1 1 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 2 7 14 12
8 10 11 13 14 16 15 13 10 8 6 7 8 12 16 23 28 32 33 31 26 21 18 19 18 15 13 11 9 8 7 7 6 6 7 6 5 4 2 2 3 4 5 4 4 4 3 3 3 3 4 5 5 5 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 8 12 13
5 6 8 9 12 12 9 6 4 2 1 2 5 9 14 19 23 26 27 26 22 19 20 21 19 17 15 12 11 10 9 7 6 6 6 6 5 3 2 2 3 4 4 4 4 4 3 3 3 3 3 4 4 4 3 3 2 3 5 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 1 3 6 8 9
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