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 7 6 7 9 10 9 8 8 9 11 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 12 12 12 11 10 9 9 8 9 10 9 8 8 10 15 21 25 26 24 19 15 12 11 11 10 9 8 8 8 8 9 8 8 8 7 6 5 4 3 3 5 8 13 20 29 40 46 43 37 30 21 13 10 9 9 10 11 12 12 12 11 11 12 12 12 12 12 11 10 9 9 8 9 9 9 10 10 10 10 10 10 10 nan
nan 8 8 8 9 9 9 8 7 8 10 11 11 11 10 10 10 10 10 10 11 12 11 10 10 11 11 11 12 12 12 11 11 10 10 9 8 8 9 9 9 8 8 11 17 23 27 28 24 18 14 11 10 9 8 7 7 7 7 7 7 7 7 8 8 7 6 5 4 5 7 9 12 17 28 39 44 43 39 31 21 16 12 10 9 10 11 13 13 13 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 11 11 12 11 10 10 nan
nan 10 9 8 8 8 9 8 7 7 9 10 11 11 11 11 11 11 10 11 12 12 11 10 10 11 11 12 12 11 11 10 10 10 10 9 7 8 9 9 8 8 9 13 18 23 27 26 19 14 10 8 7 7 6 6 6 6 6 6 6 6 6 6 7 7 7 6 6 7 8 9 12 18 28 36 41 43 40 32 24 19 14 10 9 9 10 12 13 14 14 13 13 13 13 13 13 13 13 12 11 11 11 11 11 12 12 13 13 12 11 10 nan
nan 10 9 8 8 8 9 8 8 9 10 10 10 11 11 12 12 12 12 12 13 13 12 11 11 11 11 11 11 11 10 11 11 10 9 8 7 7 7 7 8 9 11 15 18 22 23 19 13 9 6 5 5 5 6 6 5 5 5 5 4 4 5 6 7 8 8 7 7 8 8 10 14 19 26 33 39 42 39 33 27 21 14 9 8 8 8 10 11 12 13 14 14 14 13 13 14 14 14 13 13 12 12 12 12 13 13 13 13 12 12 11 nan
nan 10 10 9 9 9 9 9 10 11 11 10 10 10 11 12 13 13 13 13 13 12 11 11 11 11 11 11 11 11 11 11 11 10 10 8 6 4 4 6 9 11 14 18 21 23 19 13 8 5 4 3 4 5 6 6 5 5 5 5 4 4 5 5 6 8 8 8 8 8 9 11 15 19 25 32 39 42 39 35 30 22 15 11 9 7 7 8 9 10 11 12 13 13 12 12 13 14 13 13 13 12 12 12 13 13 13 13 13 13 12 11 nan
nan 11 11 10 9 9 9 10 11 11 11 10 9 9 11 13 14 14 13 12 12 11 10 10 11 12 12 12 12 12 12 11 11 11 10 7 4 2 3 8 11 15 18 22 25 23 17 11 5 3 3 3 4 5 6 6 6 6 6 5 4 4 5 5 6 7 8 8 8 9 10 12 15 19 25 33 39 40 39 36 30 23 18 14 10 7 6 6 7 7 8 9 10 11 10 11 11 12 11 11 11 11 11 11 12 12 13 13 13 13 12 11 nan
nan 12 11 10 9 8 9 9 10 9 9 8 8 10 11 13 14 13 12 11 10 9 9 10 12 13 13 12 12 12 12 12 13 12 10 7 4 4 8 13 16 19 22 26 28 23 17 10 4 2 3 4 5 5 6 6 7 7 7 6 6 6 5 6 7 7 8 8 8 8 9 11 14 19 27 35 38 39 38 35 31 26 22 17 11 8 7 6 6 6 7 7 8 9 9 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 12 11 nan
nan 12 11 10 9 8 9 9 8 7 6 6 8 11 12 13 13 12 12 11 10 9 9 11 13 13 12 10 11 12 13 14 13 12 10 9 9 11 15 17 20 22 25 28 27 23 17 10 5 4 4 4 5 5 6 6 7 7 7 7 7 7 6 6 7 8 8 8 8 7 8 10 13 20 28 34 37 38 37 35 32 29 25 19 14 11 9 7 6 6 6 7 8 8 8 9 10 11 11 11 9 8 8 7 6 7 8 10 10 10 10 10 nan
nan 10 10 9 9 9 9 9 8 6 5 6 9 12 13 12 11 11 10 10 10 10 11 12 14 13 11 10 11 12 14 13 12 11 11 12 13 15 17 18 19 21 24 25 25 22 16 10 7 5 4 5 5 5 6 7 7 8 8 8 8 7 7 6 7 8 9 9 7 7 7 8 13 21 27 33 37 38 35 33 33 31 27 22 18 15 12 9 8 7 7 7 8 8 9 9 11 13 14 13 13 12 11 9 7 6 7 8 8 8 8 8 nan
nan 9 9 9 9 10 10 9 7 5 5 7 11 13 12 10 9 9 9 9 9 10 12 13 14 13 11 11 12 13 13 11 11 11 11 12 13 13 13 14 14 15 17 19 20 18 14 11 8 5 5 6 6 6 6 7 8 9 9 9 9 8 7 7 7 8 9 9 7 6 6 8 13 19 26 34 38 36 33 30 30 31 29 27 23 19 14 12 10 9 8 8 8 8 8 9 10 13 14 16 17 18 18 15 12 10 9 8 8 8 8 7 nan
nan 9 9 10 10 11 10 9 7 5 5 9 11 12 11 10 9 8 8 8 9 10 12 13 13 12 12 12 12 12 11 10 10 11 11 12 12 11 10 10 10 12 13 14 14 12 11 9 7 5 5 7 7 6 5 6 8 10 10 10 9 8 7 7 8 9 10 9 8 6 6 8 11 16 25 34 38 35 31 27 26 28 29 30 27 23 18 15 13 11 10 9 8 7 7 7 8 9 12 15 19 23 24 24 22 18 16 14 13 12 11 10 nan
nan 9 9 10 11 11 11 9 7 6 7 9 11 12 10 9 9 9 8 8 9 10 11 11 11 11 11 10 10 10 10 11 11 11 12 11 11 10 10 10 11 12 14 15 14 12 10 8 6 6 7 8 7 5 5 7 8 10 10 9 8 7 6 6 8 9 10 10 8 6 6 7 9 15 25 33 36 35 30 24 22 23 26 30 30 27 24 20 16 13 12 11 10 8 6 5 5 5 7 11 16 21 26 30 29 26 24 22 19 17 16 15 nan
nan 9 9 10 11 11 11 9 8 8 8 9 10 10 10 10 10 9 9 8 9 9 9 10 10 10 10 9 9 9 10 11 11 12 12 11 10 10 10 12 13 14 15 17 17 16 14 11 10 10 11 11 9 7 6 7 8 9 9 9 8 6 5 6 8 10 12 11 8 7 6 7 8 14 22 29 34 35 30 24 20 19 22 26 29 30 29 25 19 16 13 12 11 9 8 6 4 3 4 6 11 16 22 27 29 28 26 24 23 21 19 17 nan
nan 9 10 10 11 11 10 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 12 12 12 11 10 10 11 12 12 13 14 16 18 19 18 16 15 15 15 14 11 8 7 6 6 7 7 6 6 4 4 6 9 13 14 12 8 6 6 7 8 12 18 25 32 35 31 25 20 16 17 20 24 29 31 29 25 21 16 12 10 9 8 7 5 3 3 4 6 11 15 19 21 23 22 21 19 18 16 15 nan
nan 9 10 10 10 11 10 9 8 8 8 9 9 8 9 9 9 10 10 10 10 9 9 9 9 9 8 9 10 10 10 11 13 14 13 12 10 9 9 10 10 11 13 15 17 18 18 17 17 17 17 15 12 10 7 5 4 3 3 3 3 2 2 5 10 15 15 11 7 6 6 7 7 9 14 22 30 34 33 28 22 16 14 14 17 23 28 29 29 25 19 14 10 8 7 7 6 5 5 4 5 7 9 11 14 15 15 14 13 12 12 11 nan
nan 9 9 9 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 12 13 14 15 15 13 11 9 8 8 9 10 12 13 14 15 15 15 15 15 15 14 12 11 8 6 4 2 0 -0 1 1 1 3 9 14 14 11 7 6 7 7 7 7 11 19 28 33 35 32 25 19 14 11 12 15 20 24 27 26 23 18 13 9 6 5 5 5 5 5 6 7 7 8 10 10 10 9 9 8 8 9 nan
nan 10 9 9 9 9 8 8 7 7 8 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 10 11 12 13 14 15 15 15 12 10 8 8 8 9 10 12 12 13 13 12 12 12 12 13 13 12 11 10 8 6 5 3 2 2 2 2 3 6 11 12 12 10 9 9 8 6 5 8 16 24 32 36 34 29 23 16 11 9 9 12 16 20 23 23 21 17 12 8 5 3 3 4 6 7 7 7 8 9 9 9 9 8 8 8 8 nan
nan 9 9 9 9 8 7 6 6 7 7 7 7 8 10 10 10 9 9 9 10 10 9 9 9 9 9 10 11 12 13 14 14 15 13 11 9 8 8 8 9 11 12 12 12 12 11 11 11 12 12 12 12 11 10 9 9 8 7 6 6 6 5 5 7 9 11 11 11 10 9 7 4 2 6 13 22 30 35 36 33 27 20 13 9 7 8 10 13 16 19 21 21 17 13 9 5 3 3 4 6 7 8 8 9 9 9 10 9 9 9 9 nan
nan 9 8 7 7 7 6 6 6 6 7 7 8 10 11 10 9 8 9 11 10 10 9 8 8 9 9 10 11 12 13 13 14 14 11 9 8 7 6 7 9 10 11 12 11 11 11 12 12 13 13 13 12 12 10 10 9 9 9 9 9 8 7 7 8 8 8 8 7 7 7 6 4 3 6 11 18 26 33 36 35 30 23 17 12 8 6 6 8 10 14 18 20 21 19 15 11 6 4 3 4 6 8 8 8 8 9 9 9 9 9 9 nan
nan 8 6 5 5 6 7 7 6 7 8 9 12 13 12 9 8 8 10 11 10 10 9 8 9 9 9 10 11 12 12 12 13 12 10 8 7 5 5 7 9 11 11 11 11 11 12 13 13 13 13 13 13 12 11 10 9 8 8 9 9 9 9 8 8 7 5 3 4 6 8 8 7 6 8 11 15 22 29 34 36 33 27 21 14 10 8 6 6 7 9 13 17 21 23 22 19 14 8 5 3 4 6 7 7 7 7 7 8 8 8 8 nan
nan 6 5 4 5 7 8 8 8 9 10 12 13 13 10 8 7 9 10 10 10 9 9 9 9 10 10 10 10 11 11 11 12 11 9 8 6 4 4 7 9 11 12 10 10 11 13 13 13 13 13 14 13 12 11 10 9 7 7 7 8 9 9 9 8 6 3 2 4 7 10 11 10 9 8 10 12 17 25 31 35 36 31 24 18 13 9 8 7 6 7 9 13 17 22 26 26 23 17 11 6 4 4 5 6 6 6 6 6 6 7 7 nan
nan 6 6 8 9 10 10 10 10 11 12 12 12 11 9 7 7 9 10 10 10 8 8 9 9 9 8 8 8 9 10 10 10 9 8 7 5 4 5 7 10 11 11 11 11 12 13 13 13 13 14 14 13 12 11 10 8 7 6 7 7 8 8 8 8 5 3 3 6 9 11 11 10 9 8 8 10 14 19 26 33 36 34 29 22 15 11 9 8 7 7 7 9 13 18 24 29 30 26 21 14 8 4 4 5 6 6 6 5 5 6 6 nan
nan 8 9 10 10 9 8 9 10 11 11 10 10 10 9 8 8 9 10 10 9 7 7 8 8 7 6 6 7 9 10 10 9 9 7 6 5 5 6 8 10 10 11 11 11 12 13 13 13 13 14 14 13 12 11 10 8 7 6 7 7 6 7 7 6 4 3 5 7 9 10 10 10 10 9 9 9 11 15 22 29 34 36 33 27 19 13 9 8 8 8 8 8 9 13 19 25 30 32 29 23 17 10 6 6 7 8 9 8 7 7 7 nan
nan 9 9 9 8 6 6 7 9 10 8 8 8 9 9 8 8 8 9 9 8 8 8 8 8 7 7 8 9 11 11 11 10 9 7 6 5 6 6 8 9 10 11 11 12 12 12 12 12 13 14 14 13 12 11 9 8 7 6 6 6 5 5 3 1 0 1 4 7 9 9 9 10 10 10 9 9 10 13 18 24 30 35 36 31 24 17 11 7 7 8 8 8 8 10 13 18 26 31 33 31 26 18 12 9 9 11 12 12 11 10 9 nan
nan 8 7 7 6 6 7 8 9 9 8 8 9 9 8 7 7 7 7 9 9 10 10 9 9 9 10 11 12 13 12 12 10 8 7 6 6 6 7 8 10 11 12 12 12 12 12 11 11 12 12 13 13 13 11 8 7 6 6 6 6 5 3 -0 -3 -4 -3 1 5 7 8 9 10 10 10 10 9 9 11 15 19 26 33 36 35 30 23 14 8 6 6 7 8 8 8 9 12 17 24 29 31 30 25 19 14 12 11 12 13 12 12 11 nan
nan 8 8 8 9 10 10 11 11 10 10 10 10 10 8 7 6 6 8 11 12 11 9 8 8 9 11 12 12 12 11 10 8 7 6 6 7 7 8 9 11 12 13 13 13 12 11 10 10 10 11 12 13 12 10 8 6 6 7 7 7 6 4 -0 -3 -6 -5 -1 3 6 7 8 9 10 10 10 10 10 11 12 16 22 28 33 36 35 29 20 12 7 5 5 7 7 7 7 8 11 14 19 25 28 27 23 18 14 11 10 11 11 11 10 nan
nan 10 10 11 11 12 12 11 11 11 11 12 12 10 9 8 7 8 11 13 12 9 6 6 7 9 10 10 10 10 9 8 7 6 7 9 10 10 10 10 11 12 13 13 13 12 10 9 9 9 11 13 13 12 9 7 6 7 7 8 8 7 6 3 -0 -4 -5 -1 2 5 7 8 8 9 10 10 10 10 10 11 14 19 23 28 33 36 33 28 20 11 6 5 5 6 6 7 6 7 8 11 16 20 22 22 20 16 12 9 8 8 9 9 nan
nan 11 11 12 12 11 10 10 10 11 12 12 12 10 9 8 8 10 12 11 9 6 4 6 8 9 9 10 10 9 8 8 8 10 12 13 14 13 12 11 11 12 13 13 13 11 10 8 8 9 11 13 13 12 10 7 6 7 8 9 9 8 7 6 2 -3 -3 -1 3 5 7 8 8 9 10 10 10 10 10 11 13 16 19 24 30 34 35 34 28 19 11 7 5 4 5 6 6 6 6 7 9 12 16 18 19 17 14 10 8 7 7 8 nan
nan 12 12 12 12 11 10 10 11 12 13 12 11 10 9 9 9 11 11 9 7 6 7 9 10 10 10 10 10 10 10 12 14 16 17 17 16 14 12 10 10 11 13 14 13 11 9 8 7 9 11 12 12 12 10 8 7 8 9 10 10 9 8 5 0 -3 -4 -2 3 6 7 7 8 9 10 10 10 10 10 10 11 13 16 21 26 30 33 35 33 26 20 13 7 5 5 6 7 6 6 6 6 7 10 13 15 16 16 13 11 8 7 7 nan
nan 13 13 13 13 11 10 11 12 13 13 12 10 10 10 10 11 12 11 11 10 10 11 12 12 12 11 12 13 14 16 18 20 21 20 19 17 14 11 8 9 11 14 15 14 11 9 7 7 9 10 12 13 12 10 9 8 9 10 11 11 11 9 5 0 -4 -6 -4 1 5 7 7 8 9 9 10 10 10 10 10 10 11 14 18 21 25 30 33 34 32 27 19 13 9 7 6 7 7 7 6 6 5 7 8 10 13 15 15 13 11 9 8 nan
nan 13 13 12 10 8 7 9 11 12 11 10 10 11 11 12 13 14 14 13 12 12 13 14 14 14 13 14 16 18 20 20 20 19 18 17 15 13 10 7 8 11 14 15 14 12 10 8 8 9 11 12 13 12 10 9 9 10 11 12 11 11 9 6 2 -2 -6 -5 -1 3 6 7 8 9 9 10 11 11 10 10 10 11 14 15 17 22 26 29 32 33 30 25 20 15 10 8 7 7 8 7 7 6 5 5 7 9 12 13 13 11 10 9 nan
nan 10 8 5 3 2 4 6 8 8 7 7 9 11 13 14 15 15 14 13 12 13 14 15 15 15 15 16 17 18 18 17 16 14 13 13 12 11 9 7 8 10 13 15 14 12 10 9 9 9 11 12 13 12 11 10 10 12 12 13 11 10 9 8 5 1 -4 -5 -3 1 5 7 8 9 10 11 11 11 11 11 10 11 12 13 16 20 22 25 28 31 31 29 26 20 15 11 9 8 8 8 8 7 6 5 5 6 7 9 10 11 10 9 nan
nan 5 2 1 1 3 6 8 9 7 6 7 10 13 15 16 15 14 12 12 12 13 14 14 14 14 14 15 15 15 14 13 12 12 11 11 11 11 9 7 6 9 12 14 14 13 11 10 9 9 10 12 12 12 12 11 11 12 13 12 11 10 9 8 7 4 0 -2 -4 -1 3 7 9 10 11 12 12 12 11 11 11 11 11 13 15 17 18 21 24 27 29 30 29 25 20 16 13 10 9 8 8 8 7 6 5 4 4 6 8 9 9 9 nan
nan 5 4 5 8 10 11 12 11 9 9 9 11 14 16 16 15 13 12 12 12 12 12 11 11 11 12 13 13 12 12 11 11 11 11 11 11 11 9 7 6 7 10 13 14 13 12 10 9 9 10 11 12 12 12 12 12 12 12 12 11 10 9 8 7 6 4 1 -2 -2 2 6 9 11 12 12 12 12 12 11 11 11 11 13 14 15 16 19 21 23 26 28 29 28 26 23 18 13 11 9 9 9 8 7 6 4 4 5 5 5 6 7 nan
nan 10 11 12 13 14 14 13 12 12 11 11 12 13 14 15 17 17 17 15 12 10 9 9 9 10 12 12 11 11 11 11 11 10 10 10 11 11 9 7 6 6 9 12 13 13 12 10 9 8 9 10 12 13 13 13 13 13 12 11 10 9 8 8 8 7 7 4 0 -1 1 5 9 12 13 12 12 13 12 11 11 11 11 12 13 13 15 17 18 19 22 25 27 29 30 28 23 19 15 12 10 9 9 8 7 6 4 2 1 1 2 3 nan
nan 13 13 14 14 14 13 13 13 13 12 12 12 12 12 15 19 21 20 16 12 10 8 8 9 10 11 11 10 10 10 10 10 10 9 10 11 11 11 8 6 6 8 11 13 13 13 11 9 9 9 11 13 13 14 13 13 13 13 12 10 7 6 7 7 8 8 6 3 2 1 5 10 12 13 13 13 13 13 12 11 11 11 12 12 13 14 14 14 16 18 21 24 28 30 30 29 25 20 15 12 10 10 9 7 5 2 -1 -3 -2 -1 2 nan
nan 13 13 13 14 14 14 14 15 14 12 11 11 11 12 15 18 20 19 15 12 9 8 8 9 10 10 10 10 9 9 10 10 9 9 10 12 12 12 9 6 5 7 9 12 14 13 12 10 9 10 11 13 13 14 14 14 15 14 12 9 6 5 6 7 8 9 8 6 4 3 6 10 12 12 13 14 14 14 13 11 10 10 11 11 12 12 12 13 14 16 18 21 25 28 31 32 30 26 20 16 13 11 8 6 2 -2 -4 -3 -2 1 4 nan
nan 13 13 14 16 17 17 17 17 15 10 8 9 10 11 13 16 19 19 16 13 10 9 10 10 11 10 10 9 9 9 10 10 10 10 11 12 13 12 8 5 4 5 8 12 14 14 12 10 10 10 11 12 13 13 14 15 15 14 12 8 5 5 5 7 8 9 9 8 6 6 8 10 11 12 13 15 16 16 13 11 10 10 10 10 10 10 11 12 12 13 15 17 21 25 29 32 33 30 27 22 17 13 8 3 -2 -4 -2 0 3 5 7 nan
nan 13 14 16 19 19 17 16 16 12 7 5 7 9 11 14 17 20 19 15 13 11 11 11 11 10 9 9 9 9 9 9 10 10 11 12 12 13 11 7 5 3 3 8 12 14 14 12 10 10 10 10 11 12 13 14 15 15 13 10 7 5 5 6 8 9 9 9 9 8 8 9 10 11 11 13 15 17 15 12 10 9 10 10 10 10 9 10 10 10 11 12 14 17 20 25 29 32 32 31 28 23 17 11 2 -4 -4 -0 4 7 8 8 nan
nan 12 14 17 18 16 12 11 11 9 6 5 7 10 13 17 20 20 16 13 11 11 11 10 10 9 8 9 9 9 9 9 10 10 11 11 12 11 9 7 5 2 3 7 11 14 14 12 10 9 9 10 10 11 12 13 14 14 12 9 7 6 7 8 9 9 9 9 8 8 8 9 10 10 12 13 14 15 14 12 10 9 10 10 11 10 9 8 8 8 9 10 12 13 16 20 24 28 31 32 31 28 24 14 3 -2 -2 2 6 8 9 9 nan
nan 12 13 15 14 12 10 10 10 8 7 8 10 13 16 19 19 16 12 10 9 10 10 9 9 9 9 9 8 8 9 9 9 10 10 10 10 9 8 6 5 3 4 7 10 13 13 11 10 9 9 9 10 10 11 12 12 12 11 9 8 7 7 9 10 10 10 9 8 8 8 8 9 10 11 12 13 14 13 12 11 11 12 13 13 11 9 7 6 6 7 8 9 10 13 16 18 22 26 29 30 30 27 18 8 2 1 3 7 9 9 9 nan
nan 13 14 13 12 12 12 11 10 9 9 10 12 14 16 16 15 12 10 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 8 7 6 6 5 5 6 9 12 12 11 10 10 9 9 10 11 11 11 11 11 10 10 9 8 8 9 10 11 11 10 8 7 7 8 9 10 11 12 13 13 13 12 12 13 14 16 16 13 10 8 6 5 5 5 6 7 9 11 13 16 19 22 25 28 27 22 16 11 7 7 8 9 10 10 nan
nan 14 13 12 11 11 12 12 10 10 10 11 13 14 13 13 11 11 10 10 10 9 9 9 10 10 9 9 8 8 9 9 9 9 9 9 9 8 8 7 7 6 6 6 8 10 12 12 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 10 11 11 10 8 7 6 7 9 10 11 11 12 12 12 12 12 13 15 16 15 13 11 9 6 5 4 3 3 4 5 6 9 11 13 16 19 23 25 25 23 20 16 14 12 11 10 10 nan
nan 13 12 11 10 11 12 12 11 11 11 11 12 12 12 11 10 10 10 10 10 10 10 11 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 8 7 7 6 6 8 10 11 12 11 10 10 9 10 10 11 11 11 11 11 11 11 11 11 10 11 11 11 10 8 6 6 7 9 10 11 11 12 12 12 12 12 12 13 14 13 12 11 9 8 6 6 5 4 3 2 3 4 6 7 10 14 17 21 24 26 25 24 21 18 15 13 12 nan
nan 11 10 10 9 10 11 11 11 11 12 11 11 10 10 10 10 10 10 10 11 11 13 13 13 12 11 11 11 11 10 10 9 9 8 8 8 8 8 8 7 6 5 6 7 9 11 11 11 10 9 9 9 10 10 11 11 11 11 11 12 12 12 12 11 11 11 10 8 7 6 7 8 10 11 12 12 12 11 11 11 12 12 12 11 12 11 10 9 9 8 8 7 6 4 2 1 1 2 5 9 12 16 20 24 26 27 27 24 21 18 15 nan
nan 10 9 9 9 10 10 10 11 12 12 12 11 10 10 10 11 11 11 11 12 13 13 13 13 12 12 12 13 13 12 11 10 8 7 6 6 6 6 6 6 5 5 6 7 8 9 10 10 9 9 8 9 9 10 11 11 11 11 11 12 13 13 13 12 11 10 8 7 6 6 7 9 10 11 12 11 11 11 11 11 11 11 11 11 12 11 11 10 10 10 10 9 9 7 5 3 1 0 2 4 8 12 15 19 22 25 28 28 27 24 21 nan
nan 9 9 9 9 9 9 9 10 11 12 11 11 10 11 11 11 11 12 12 13 13 13 12 12 12 12 13 13 13 12 11 10 9 7 6 5 5 5 5 5 5 5 6 7 8 9 9 10 9 8 8 8 9 10 10 10 10 10 11 12 13 13 13 12 11 9 8 7 6 7 8 9 10 11 11 11 11 11 11 11 11 11 12 12 12 11 11 10 10 10 10 10 11 10 8 6 4 2 1 2 4 7 9 12 16 20 24 27 29 28 26 nan
nan 9 9 9 9 9 9 9 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 8 7 6 5 5 5 5 6 7 8 9 10 10 10 10 9 8 8 9 9 10 10 10 10 11 12 12 12 12 12 11 9 8 6 6 6 8 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 10 10 10 11 10 10 9 6 4 2 1 1 2 3 6 8 12 16 21 24 26 27 nan
nan 9 9 9 9 9 9 10 10 10 10 10 11 11 12 12 12 13 13 13 12 12 12 12 13 13 12 12 11 11 12 12 12 12 12 12 10 8 7 7 7 7 8 8 9 10 10 11 10 10 9 8 8 8 8 9 9 10 10 10 11 11 11 11 10 10 9 8 8 7 7 7 9 10 11 11 11 11 11 11 10 11 11 12 13 13 13 12 11 10 10 9 10 10 10 10 9 8 6 4 3 2 2 2 2 3 4 7 10 15 19 23 nan
nan 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 12 13 13 13 12 12 12 13 14 14 14 14 13 13 13 14 14 14 14 14 12 11 10 10 10 10 10 10 9 9 9 10 9 9 9 9 8 8 8 8 9 10 10 10 10 10 10 9 9 8 8 9 10 9 8 8 8 9 10 11 11 12 11 11 10 10 11 12 13 13 13 12 11 10 10 10 10 10 10 10 9 9 8 7 7 6 6 4 3 2 1 1 3 5 8 12 nan
nan 10 10 9 9 9 9 10 10 10 11 11 11 11 11 12 13 14 14 12 11 12 12 14 15 15 15 15 15 14 15 15 16 16 16 15 15 14 13 12 12 12 11 11 10 10 9 9 9 10 10 9 9 8 8 8 9 10 10 10 10 9 9 8 8 7 8 9 11 11 10 9 8 9 10 11 12 13 12 11 10 10 10 12 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 5 4 3 2 1 1 3 nan
nan 10 10 10 9 9 9 10 11 11 11 11 10 11 11 13 14 15 14 12 12 12 13 16 17 17 17 16 15 15 15 16 17 18 18 18 16 15 13 12 12 12 12 12 11 10 9 9 9 10 9 9 9 8 8 9 10 11 11 10 9 9 9 8 8 7 8 9 10 11 11 10 9 8 9 11 12 13 12 11 10 10 10 12 12 13 13 13 12 11 10 10 9 10 10 10 10 10 10 11 10 10 10 10 9 9 8 7 5 3 1 0 nan
nan 10 10 10 10 10 10 11 11 11 10 10 10 11 13 15 16 16 14 13 13 13 14 16 17 17 17 16 14 15 16 18 20 20 20 19 17 15 14 13 13 13 13 12 11 10 9 9 9 8 8 8 8 8 9 10 11 11 10 10 9 9 9 9 8 8 8 8 9 11 11 10 9 8 9 10 12 12 11 10 10 10 10 11 12 12 13 13 13 12 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 9 8 6 5 nan
nan 10 10 10 10 11 11 12 12 11 11 11 12 13 15 15 15 15 13 13 13 13 14 15 15 16 16 15 15 15 17 19 20 21 21 19 17 16 15 14 14 14 13 11 10 10 9 9 8 7 7 8 8 8 9 10 10 10 10 10 9 9 9 9 9 8 8 8 9 10 11 10 9 8 9 10 11 11 11 11 10 10 9 10 10 12 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 nan
nan 10 10 10 11 11 12 12 12 11 12 13 14 14 14 13 13 12 12 12 12 12 13 13 13 13 14 14 14 14 15 17 18 18 18 17 16 16 16 16 15 14 13 11 11 10 9 9 8 8 8 9 9 9 9 9 9 10 10 9 9 10 10 9 9 8 8 8 9 10 10 10 10 9 10 10 10 10 11 11 11 10 9 8 9 12 13 13 13 12 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 11 10 nan
nan 11 11 11 11 12 12 12 11 12 13 14 14 14 13 12 11 11 12 12 12 12 12 12 12 12 12 12 13 14 14 14 14 13 13 13 13 14 16 17 16 15 14 13 12 11 10 10 9 9 9 9 8 8 8 9 10 10 10 9 9 9 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 9 10 12 13 13 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 11 11 12 11 nan
nan 11 11 12 12 12 12 11 11 12 12 13 13 13 12 11 11 11 12 12 12 12 12 12 11 11 12 12 13 14 14 13 12 10 9 10 11 12 14 16 16 16 15 14 13 12 11 11 10 10 9 8 8 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 10 10 10 9 9 10 12 13 13 12 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 11 11 11 12 12 nan
nan 12 12 12 12 12 11 11 11 11 12 12 12 12 12 11 11 11 12 12 13 12 12 11 11 11 12 12 13 14 14 13 12 10 9 9 10 11 12 13 15 15 15 15 14 14 13 13 12 11 11 10 9 10 10 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 9 9 9 9 9 10 10 10 11 12 12 12 13 12 11 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 nan
nan 12 12 12 11 11 10 10 11 11 11 12 12 12 11 11 11 11 12 13 13 12 12 11 11 11 12 12 13 13 13 12 11 10 10 10 10 10 11 11 12 13 13 13 13 14 15 15 14 14 13 12 11 12 12 11 11 10 9 8 9 9 9 9 9 10 11 11 11 10 10 10 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 10 10 11 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 12 12 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 13 13 13 12 11 11 11 11 12 12 12 13 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 13 14 15 15 15 15 14 14 13 13 11 11 10 9 9 8 8 8 8 9 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 11 12 12 11 11 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 nan
nan 12 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 10 11 11 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 10 10 10 11 12 13 14 15 16 16 16 15 13 12 11 11 10 10 9 8 8 8 9 10 10 11 11 11 11 10 10 9 9 10 10 11 11 12 12 12 11 10 10 10 11 11 11 10 9 10 12 13 13 12 10 9 9 8 8 9 9 10 10 10 10 10 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 13 16 18 19 18 15 14 13 12 11 10 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 11 10 10 10 11 11 11 10 9 11 14 14 14 12 9 9 8 8 8 8 9 9 10 10 10 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 13 15 18 20 21 19 17 16 14 12 11 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 9 11 13 14 15 14 11 10 9 8 8 8 8 8 9 10 10 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 13 13 14 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 12 12 12 12 13 14 17 19 20 21 21 19 16 15 14 13 12 12 12 11 9 9 8 7 7 7 7 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 12 14 14 15 13 11 11 10 9 9 9 8 9 9 10 11 11 12 11 11 11 11 nan
nan 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 9 9 10 11 12 12 12 12 12 13 13 15 17 19 21 22 21 19 18 16 15 15 15 14 13 11 10 9 8 8 7 8 8 9 9 9 9 9 10 10 11 11 12 12 12 12 11 11 10 11 12 13 14 14 13 12 11 10 9 10 9 9 9 9 10 10 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 10 10 9 10 10 11 12 13 13 12 12 13 13 15 17 20 21 21 20 18 17 16 16 15 14 13 13 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 11 11 12 13 13 12 12 11 10 10 10 9 9 9 9 9 10 11 11 11 11 11 12 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
5 6 7 8 7 7 3 3 4 6 9 11 13 13 12 10 8 4 3 2 1 0 0 0 1 2 2 2 2 2 1 1 1 1 0 0 0 1 1 3 4 4 5 7 11 29 66 99 112 105 81 54 35 27 26 29 24 19 16 15 10 8 11 14 17 22 29 26 21 17 16 18 18 15 13 11 11 10 10 25 59 118 177 218 243 261 285 300 318 337 376 452 556 644 689 710 734 828 907 954 977 980 972 965 940 899 851 808 740 669 591 518 482
4 6 6 6 7 7 5 5 5 6 8 10 12 13 13 11 8 4 2 1 0 1 1 2 3 3 2 2 3 2 2 1 1 1 0 0 0 0 1 2 4 4 5 6 10 30 65 97 113 102 83 63 49 41 40 37 30 24 20 17 12 9 11 18 23 28 28 21 15 13 16 19 18 14 11 8 8 8 8 12 27 83 141 187 217 234 267 287 305 332 374 459 546 622 680 727 756 832 893 928 938 932 939 939 926 895 825 764 698 629 556 462 417
5 6 6 7 6 5 6 6 6 6 7 9 11 12 12 10 6 4 2 1 1 1 1 2 3 3 2 3 2 2 1 1 1 1 0 0 0 0 1 3 4 5 5 7 10 28 59 97 118 112 97 80 64 53 48 40 33 26 20 17 12 8 11 17 18 19 17 14 12 13 17 19 17 14 8 6 6 6 5 4 16 55 107 157 193 213 242 270 297 330 364 434 512 592 669 723 773 827 874 900 900 899 904 909 903 870 803 725 647 579 518 439 380
6 6 6 5 5 5 6 6 5 6 7 7 8 9 9 6 4 3 2 2 3 3 2 2 2 3 3 2 2 1 1 1 1 0 0 0 0 1 2 3 4 6 6 7 13 28 60 106 130 130 115 94 73 61 53 45 37 27 22 20 17 12 10 9 7 7 10 14 14 15 18 19 18 12 7 4 4 3 3 2 11 36 73 116 151 182 214 244 269 312 350 396 451 522 604 673 729 778 827 851 857 858 865 875 866 828 767 685 596 530 477 422 372
6 6 6 5 4 4 5 5 4 4 5 6 6 6 5 4 3 2 2 3 3 3 3 2 3 2 2 1 1 1 1 1 1 0 0 0 0 1 1 3 5 7 8 9 13 27 73 125 146 139 113 91 75 63 53 43 33 27 25 23 19 13 7 5 4 5 10 14 13 15 19 23 19 12 6 4 3 2 1 1 4 17 41 72 105 142 182 218 246 286 323 355 384 446 525 596 656 705 762 799 812 812 821 830 813 779 721 636 548 489 450 420 393
5 5 6 5 4 4 3 4 3 2 3 4 5 4 3 3 2 2 3 4 5 4 3 2 1 1 1 1 1 1 1 1 0 0 0 0 0 0 2 5 7 9 10 11 13 25 77 123 143 129 96 79 68 61 54 45 37 30 25 21 18 9 5 3 3 5 11 12 13 16 23 27 20 12 5 2 3 1 1 1 0 0 18 38 62 92 134 170 203 240 279 311 340 386 443 508 573 626 677 716 735 734 751 759 747 713 660 577 506 455 426 411 402
3 4 4 4 4 4 4 3 2 2 3 4 5 4 3 2 2 2 3 3 3 3 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 2 4 8 11 11 11 11 13 38 81 118 128 102 75 63 57 56 56 48 40 32 24 17 16 12 8 5 3 5 9 11 16 23 30 29 22 13 5 2 2 1 1 0 0 0 6 15 28 43 70 96 124 160 211 254 295 338 385 443 499 548 596 637 658 656 662 672 672 640 587 522 465 431 417 414 409
2 1 2 3 3 3 3 2 2 2 3 4 4 3 3 2 2 2 2 2 1 1 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 5 8 11 12 11 10 15 42 81 112 108 72 54 45 42 42 45 43 40 36 27 17 15 14 11 7 6 8 11 15 22 34 36 31 22 13 4 2 1 1 0 0 0 0 1 4 11 17 23 27 39 68 119 168 220 276 326 378 424 467 512 564 584 587 579 570 569 548 516 465 415 395 403 409 412
1 1 2 2 2 2 2 1 1 2 3 4 5 5 4 3 2 2 2 1 0 1 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 2 4 8 11 12 10 9 18 43 77 100 76 52 39 33 30 32 35 38 41 42 36 28 23 19 12 5 7 12 17 20 30 39 39 32 20 10 4 2 1 1 0 0 0 0 0 0 4 5 4 3 3 19 44 74 113 170 237 291 333 369 421 476 513 527 515 497 489 476 451 411 363 357 379 398 405
1 1 1 2 3 3 3 2 1 2 3 4 5 5 5 5 4 3 2 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 2 5 7 8 9 8 8 13 31 67 68 53 40 32 28 26 25 27 31 39 44 43 38 32 24 13 6 7 14 26 32 41 45 41 30 15 7 3 1 1 0 0 0 0 0 0 0 0 1 0 0 0 2 8 18 40 86 140 192 237 269 318 373 423 455 459 457 443 418 389 347 312 304 327 362 370
2 2 2 3 4 4 4 3 2 2 3 3 3 4 6 6 5 4 3 3 2 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 1 4 6 6 7 6 7 8 10 16 42 43 37 32 33 33 30 24 21 23 34 44 50 50 42 31 20 13 8 10 26 40 50 49 39 26 14 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 12 34 69 112 154 186 220 256 288 313 336 379 401 372 336 285 253 249 266 285 311
2 2 2 2 3 4 4 5 5 5 5 4 3 3 4 5 5 4 4 5 4 3 1 1 0 0 0 0 1 1 1 0 0 0 0 0 1 4 6 6 6 7 8 8 11 18 30 36 35 31 36 37 33 26 20 24 33 46 59 64 54 44 32 20 11 8 24 40 50 46 34 23 13 5 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 12 31 63 97 132 154 158 159 157 156 192 267 261 235 199 176 182 193 214 243
3 3 3 2 2 3 4 5 6 6 5 4 3 2 2 3 3 3 4 6 6 5 4 3 2 1 0 0 1 1 1 1 0 0 0 1 1 3 4 5 5 6 7 7 9 18 33 44 44 42 43 42 36 26 22 26 33 45 60 72 72 63 47 27 14 15 26 40 48 40 29 20 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 13 34 62 99 136 133 109 80 56 50 72 99 111 108 94 101 118 143 179
4 3 3 2 2 2 3 4 5 5 5 3 2 1 2 2 2 1 2 5 6 7 7 6 4 2 2 1 0 1 1 1 0 0 0 1 2 3 5 5 4 3 4 4 6 10 22 37 43 48 50 49 43 31 30 30 33 40 54 69 75 69 52 29 17 16 26 41 47 38 27 17 9 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 37 70 134 163 140 93 53 26 15 17 28 39 35 40 62 98 137
6 4 3 2 2 2 3 4 5 5 4 3 2 2 2 2 2 2 2 4 6 7 10 9 6 5 3 2 1 1 1 1 0 0 0 1 1 3 5 4 3 2 1 2 3 4 9 18 25 33 41 46 42 40 38 36 38 48 60 67 66 58 43 27 16 13 22 41 44 36 26 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 48 98 158 186 153 105 56 20 5 4 9 13 20 38 68 94
8 6 5 3 2 3 4 5 5 5 4 3 3 3 3 4 5 5 5 5 5 5 9 10 9 7 5 3 2 1 1 1 0 0 0 1 2 3 3 3 3 2 1 2 2 3 4 7 8 11 15 23 28 35 40 44 47 52 54 57 56 47 35 22 14 13 20 32 38 35 25 16 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 20 39 91 168 171 148 109 62 31 11 4 4 12 31 45 55
7 6 5 3 3 3 5 5 5 6 4 4 4 5 6 7 8 9 8 7 6 6 8 9 9 8 6 5 3 2 1 1 0 0 0 0 1 2 2 2 3 3 2 1 2 3 3 4 4 3 3 5 12 23 35 48 54 58 59 55 49 42 34 25 18 17 23 31 38 37 26 16 10 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 25 77 111 129 129 104 72 35 12 3 1 7 25 44
6 5 4 3 3 4 5 6 7 6 6 5 6 7 9 10 10 10 9 8 7 7 7 8 8 7 6 4 3 2 1 0 0 0 0 0 0 1 2 2 3 2 1 0 1 2 3 4 4 3 3 3 7 17 33 48 56 59 58 51 44 39 33 26 21 27 36 45 49 42 28 16 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 3 5 21 48 75 89 95 80 53 28 13 5 10 27 49
7 6 6 5 5 5 6 7 7 7 7 7 7 9 11 12 11 10 8 7 7 7 7 8 8 6 4 4 3 2 1 0 0 0 0 0 0 0 1 1 1 1 1 1 1 2 2 3 3 5 4 3 5 13 29 46 56 59 57 52 46 39 33 28 30 35 43 51 51 41 29 17 8 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 5 18 42 63 71 66 54 39 27 19 20 27 39
9 8 8 8 8 7 7 8 9 9 8 8 8 10 11 11 9 7 5 6 7 8 9 9 8 7 5 4 3 1 1 1 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 2 3 5 5 3 3 9 24 42 56 61 60 58 52 46 39 36 35 35 39 45 44 39 31 21 10 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 8 24 39 47 46 41 34 34 35 34 34 33
11 10 10 10 9 9 9 10 10 9 9 8 9 9 9 9 8 7 7 8 8 10 11 11 10 8 5 3 3 2 1 1 0 0 0 0 0 0 0 0 0 1 3 3 2 2 1 1 1 3 4 4 3 7 21 40 57 67 68 66 60 51 44 41 39 38 38 37 37 35 30 21 11 5 2 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 3 10 20 29 30 25 22 24 32 38 40 38
11 11 11 11 11 12 12 11 10 9 8 8 8 8 8 8 7 7 8 9 10 12 12 11 10 8 6 5 4 3 3 2 1 0 0 0 0 0 0 0 0 1 3 3 3 2 2 1 2 2 3 3 3 6 18 36 57 73 77 72 62 52 46 42 38 34 30 27 25 23 16 9 6 3 2 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 2 6 12 15 15 15 17 24 34 42 47
9 9 10 11 12 13 13 12 11 9 7 7 7 8 8 7 7 7 8 9 11 12 12 11 10 8 6 5 5 5 5 4 3 2 1 0 0 0 0 0 0 1 2 3 3 3 2 1 1 2 3 3 2 5 12 26 51 71 77 70 58 47 41 38 33 27 21 17 16 13 9 6 3 2 1 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 1 2 4 5 8 11 17 26 37 47
7 8 9 10 11 12 13 11 9 7 6 5 6 7 8 7 7 7 8 10 12 12 12 12 10 8 7 6 6 6 5 5 4 3 2 1 1 0 0 0 1 2 3 4 4 3 2 2 1 2 4 4 3 3 5 19 41 58 62 51 41 35 33 33 29 22 16 12 10 8 5 3 2 1 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 1 2 5 8 14 22 32
5 5 6 8 10 11 10 9 8 6 5 5 5 6 7 8 7 7 8 11 12 13 13 12 10 8 7 7 6 6 6 5 5 4 2 2 1 1 0 0 1 2 3 4 4 3 3 3 2 3 4 4 3 2 2 15 31 40 36 22 17 18 22 26 24 19 14 10 7 5 3 2 2 2 1 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 1 3 5 9 13
5 4 5 6 9 9 8 7 6 5 4 4 5 5 5 6 6 7 9 12 14 14 13 11 9 7 6 6 6 5 5 5 5 4 2 2 1 0 0 0 1 2 3 4 5 4 3 2 2 4 5 5 4 2 3 11 19 22 14 7 6 8 12 18 19 17 12 7 5 3 2 2 1 2 2 1 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 1 2 3 4
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