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 7 8 8 7 8 9 9 10 10 10 10 9 8 8 8 8 8 7 8 8 10 11 11 11 11 10 9 9 9 9 9 10 11 12 11 8 5 5 6 6 7 8 8 8 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 nan
nan 8 9 10 9 8 8 8 9 10 11 12 11 11 10 10 10 10 10 9 8 9 10 11 11 11 11 10 9 9 8 7 7 7 10 12 12 10 7 6 6 6 7 8 9 9 9 9 9 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 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 12 nan
nan 10 11 11 10 9 9 8 9 10 12 13 12 12 12 12 13 12 11 10 9 9 10 10 11 11 11 10 9 9 7 6 5 6 8 11 11 11 9 7 5 6 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 9 9 9 9 8 9 9 9 10 10 11 11 11 11 nan
nan 10 10 11 10 10 10 10 11 12 12 12 12 12 13 13 13 12 10 10 10 10 10 10 10 10 10 10 10 9 8 6 5 5 6 8 10 11 9 7 5 6 7 8 9 10 10 10 9 9 9 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 10 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 10 10 10 9 9 9 9 9 9 8 9 9 9 9 10 10 11 11 11 nan
nan 9 10 11 11 12 12 12 12 13 13 12 12 12 12 11 10 9 8 9 9 10 9 10 10 11 10 10 10 10 10 8 7 6 6 7 8 7 5 4 4 5 7 8 9 10 10 10 9 9 9 9 9 10 10 10 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 11 11 12 12 12 12 12 12 11 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 10 10 10 10 11 nan
nan 10 10 11 11 11 12 12 12 12 12 12 12 12 10 9 8 7 7 7 7 8 9 10 11 11 11 11 11 11 10 10 9 8 7 5 4 2 1 2 4 5 7 9 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 12 12 12 13 12 12 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 11 10 10 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 9 10 11 11 12 13 12 11 11 10 10 10 8 6 4 2 4 6 8 10 13 14 13 13 12 12 11 11 11 10 10 10 11 11 12 12 12 12 12 12 12 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 nan
nan 11 10 9 9 10 10 10 10 10 9 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 12 13 12 12 11 11 11 11 11 11 12 13 16 18 20 22 23 23 22 20 18 18 17 15 14 13 12 12 12 12 12 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 10 10 10 10 10 10 nan
nan 10 9 9 9 9 9 9 8 8 7 7 8 9 10 10 10 11 11 12 13 13 13 14 13 12 11 11 11 11 11 11 11 11 12 14 18 22 24 25 26 27 27 27 28 29 28 26 25 22 19 15 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 9 9 9 8 8 8 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 nan
nan 10 9 9 9 9 9 8 7 7 7 8 9 10 10 10 10 10 11 11 12 13 14 15 14 12 11 10 9 9 9 10 10 10 11 12 15 18 20 20 19 17 16 17 20 23 26 27 27 23 19 16 15 15 15 14 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 10 10 11 11 11 11 11 10 10 9 9 9 9 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 11 11 10 10 10 10 11 nan
nan 11 11 11 11 10 10 9 8 9 10 12 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 9 8 8 8 8 9 9 10 10 11 11 12 11 9 6 4 2 3 6 9 12 12 10 10 12 16 18 16 14 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 nan
nan 11 11 12 12 11 11 11 11 13 14 15 15 14 12 11 11 11 11 11 10 10 8 8 7 8 8 8 9 8 8 8 9 9 10 10 10 10 10 10 10 10 8 4 -0 -2 -2 -2 -3 -2 2 8 13 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 nan
nan 10 10 11 11 11 12 12 13 14 15 16 15 13 11 10 10 10 10 9 8 7 6 6 7 7 8 8 9 9 9 8 8 9 10 11 11 11 12 14 16 18 18 18 14 11 8 5 3 5 9 12 13 11 11 12 13 13 12 12 12 11 11 11 11 12 13 15 15 15 14 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 10 10 nan
nan 10 10 10 11 12 13 13 13 14 13 12 11 10 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 9 9 11 12 12 13 14 16 18 20 24 26 25 24 22 23 25 27 27 24 21 22 22 22 21 19 17 15 14 13 13 14 17 21 23 22 19 16 15 14 14 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 11 12 12 12 12 12 12 12 12 11 11 11 10 nan
nan 10 10 11 12 13 13 13 12 11 9 8 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 10 10 11 11 11 11 10 10 10 11 12 13 13 13 14 16 19 22 25 26 27 28 30 32 31 29 29 30 30 30 30 29 26 22 20 19 19 20 23 26 26 23 19 16 14 13 13 13 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 11 12 12 12 12 12 12 12 12 11 11 11 nan
nan 10 11 12 12 12 12 10 9 7 7 6 6 6 7 7 7 7 8 9 9 9 10 10 10 10 10 11 11 12 13 13 13 13 12 11 11 12 12 12 12 12 12 13 14 16 18 19 20 20 20 20 21 22 24 26 28 30 30 29 28 29 29 29 27 24 22 19 17 17 17 17 16 15 14 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 11 11 11 12 12 12 12 12 12 12 11 11 nan
nan 11 12 12 11 10 9 7 6 5 5 5 6 7 8 9 9 9 9 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 13 12 12 12 12 12 12 11 11 10 10 10 11 11 11 11 10 11 12 13 14 16 18 19 21 23 27 30 32 32 30 25 20 18 19 22 24 24 22 19 16 14 13 12 12 12 12 11 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 12 12 12 12 12 nan
nan 11 11 11 10 8 6 5 4 5 5 5 6 8 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 12 13 13 13 13 13 12 11 10 10 9 9 9 8 8 9 9 9 9 9 10 10 11 11 11 13 16 20 22 24 25 26 26 24 22 21 22 22 21 19 17 14 12 11 11 11 10 11 10 10 10 10 10 10 10 10 11 11 10 10 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 13 12 12 nan
nan 11 9 7 6 5 5 4 5 6 6 6 7 9 10 10 9 9 10 10 11 11 11 11 11 11 11 12 11 10 10 9 10 11 12 13 14 14 12 11 10 9 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 12 13 14 15 17 19 21 21 17 12 7 4 4 5 6 7 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 13 12 nan
nan 8 6 3 2 3 4 6 7 8 8 9 11 12 11 9 7 8 10 11 12 12 11 11 11 11 11 10 9 9 8 8 8 9 10 12 13 13 11 10 9 9 8 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 13 13 12 6 0 -4 -6 -5 -1 2 5 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 5 4 3 4 6 7 8 9 10 10 12 13 13 11 8 8 9 11 12 12 12 12 11 11 10 9 8 7 7 7 8 8 9 9 10 11 11 10 10 10 9 8 7 7 7 8 9 10 11 12 12 11 11 11 11 11 11 12 12 12 11 11 11 10 8 4 -0 -3 -3 -1 2 3 5 7 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 nan
nan 5 6 8 10 11 11 10 10 11 12 12 12 11 10 10 11 12 12 12 11 10 10 10 9 8 6 5 5 6 7 8 8 8 8 9 10 9 10 10 10 9 8 8 8 8 10 11 12 13 13 13 12 11 11 11 11 11 11 12 11 10 9 8 6 2 -3 -5 -3 0 4 7 8 9 9 9 10 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 12 13 12 nan
nan 8 10 11 12 11 9 9 9 10 10 9 10 10 11 12 13 13 12 11 9 8 7 7 6 5 4 4 5 6 7 7 8 8 8 9 8 8 9 9 8 9 9 9 9 11 11 12 13 14 13 13 12 11 11 11 10 10 11 11 10 10 8 5 -0 -5 -7 -6 -2 3 6 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 13 13 nan
nan 9 10 9 8 6 5 6 8 9 8 8 9 10 11 12 12 12 11 9 8 7 7 7 6 5 6 7 8 8 8 8 8 8 9 9 8 8 8 8 8 10 10 11 11 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 11 11 9 5 1 -2 -2 1 4 7 8 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 nan
nan 7 7 5 4 4 6 8 10 10 9 10 10 10 9 8 8 8 8 8 9 10 11 10 9 9 9 10 11 11 11 10 9 9 8 8 7 8 8 9 10 11 11 11 12 12 11 12 12 12 12 11 10 10 9 9 9 10 10 10 11 12 12 11 10 11 11 12 12 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 12 12 12 13 13 nan
nan 7 6 6 7 10 12 14 14 13 13 12 12 10 8 6 5 5 6 9 12 13 12 10 8 8 8 9 10 10 10 10 8 7 7 7 7 8 9 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 12 13 15 19 21 20 17 13 11 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 13 nan
nan 8 7 9 12 14 15 15 14 13 12 12 10 9 8 7 6 6 9 11 12 11 8 6 6 6 6 6 7 8 8 7 6 6 7 8 10 11 12 13 13 13 12 11 11 10 10 10 10 11 11 11 10 10 9 9 9 10 10 11 12 12 13 15 18 18 15 11 9 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 nan
nan 8 9 11 13 13 12 11 10 9 9 9 8 7 7 7 7 8 10 10 9 6 5 5 6 7 7 7 8 7 7 6 7 9 10 12 12 13 13 13 13 12 12 11 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 11 11 12 12 13 12 8 6 4 4 7 8 9 9 9 10 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 nan
nan 10 11 12 11 10 8 7 6 6 7 7 7 7 8 8 8 10 10 9 7 6 7 8 9 10 10 10 10 9 9 10 12 14 14 14 13 13 14 13 12 12 11 10 9 9 8 8 9 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 9 7 7 7 8 9 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 nan
nan 11 12 12 11 9 7 6 6 6 7 7 7 8 8 9 10 11 11 11 10 11 11 12 12 12 12 13 13 14 15 16 17 18 17 15 13 13 13 12 12 11 10 9 8 8 7 8 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 12 14 15 14 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 nan
nan 11 11 9 7 5 3 2 3 4 6 6 7 8 9 10 12 13 15 15 16 16 16 15 15 15 15 16 17 17 18 18 17 16 15 14 13 12 11 11 12 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 13 16 17 19 17 15 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 nan
nan 8 5 2 -2 -4 -5 -4 -2 -1 -0 1 4 6 9 11 14 16 16 17 17 18 18 17 17 17 17 17 17 16 14 13 12 12 12 11 11 11 11 11 11 11 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 13 15 16 19 19 16 15 14 13 13 13 13 13 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 13 14 14 14 15 15 15 15 15 15 15 nan
nan -0 -3 -6 -7 -7 -6 -4 -3 -3 -3 -2 -0 4 7 9 11 13 14 15 16 16 16 16 16 16 16 15 14 12 10 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 10 10 10 10 11 10 10 10 9 10 10 10 11 11 11 11 11 11 12 12 15 18 20 19 17 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 15 15 15 nan
nan -3 -4 -4 -2 0 2 4 4 3 2 2 3 4 4 5 5 7 11 13 15 14 13 12 12 12 12 11 10 9 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 10 11 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 15 18 19 20 19 17 15 14 13 13 12 12 13 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 14 17 20 23 nan
nan 4 4 5 7 8 9 9 9 9 9 9 8 7 5 4 5 9 14 16 15 12 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 16 18 20 20 18 16 15 14 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 13 13 12 12 12 12 12 13 14 18 23 30 35 nan
nan 10 11 11 11 11 11 11 12 14 14 13 12 10 8 9 13 17 19 17 13 10 9 8 9 10 10 10 10 9 9 9 9 9 9 10 10 9 10 10 12 13 13 13 13 12 11 11 10 10 10 11 11 11 12 11 11 11 11 12 12 12 13 13 13 14 14 14 16 19 20 20 19 18 18 18 17 15 14 13 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 14 17 22 26 29 31 33 nan
nan 14 14 13 13 14 15 17 19 20 18 15 13 11 11 14 17 19 18 15 10 9 8 8 10 11 11 11 10 10 10 10 10 9 10 10 10 10 10 11 12 13 13 13 12 11 11 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 15 17 19 22 25 27 27 25 23 21 19 18 17 16 14 14 14 14 13 13 13 13 14 14 14 14 13 13 13 13 13 13 13 13 12 12 13 15 20 26 28 28 24 21 nan
nan 18 18 18 20 22 24 25 26 25 20 15 13 11 12 14 17 19 19 15 12 9 9 10 12 13 12 11 10 10 10 10 10 10 10 10 9 10 11 11 12 12 12 12 11 11 11 11 10 10 10 11 11 11 10 10 11 11 12 12 13 13 14 14 14 13 13 12 13 14 17 22 26 30 29 28 28 29 28 26 22 19 16 15 14 14 13 13 13 13 13 14 14 14 14 14 13 13 13 13 13 13 13 12 12 14 17 21 22 20 17 14 nan
nan 18 19 22 25 27 28 27 26 23 18 14 12 12 14 17 22 25 24 20 16 13 12 13 14 13 11 10 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 10 11 11 12 13 12 13 13 13 13 12 12 11 11 11 14 17 20 21 22 24 27 30 31 29 26 21 18 15 14 13 13 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 12 11 11 11 13 14 13 13 13 nan
nan 15 17 19 22 22 21 20 19 17 15 14 14 16 20 25 29 30 26 21 16 14 13 13 12 12 10 10 9 9 9 10 9 10 9 9 9 10 9 9 9 9 9 10 12 13 13 12 11 11 10 10 10 10 10 10 11 12 12 12 11 11 12 11 11 10 10 10 10 11 12 13 13 13 15 17 20 22 23 24 24 21 19 16 14 15 17 18 18 18 17 16 16 16 15 15 15 15 15 14 14 14 14 13 11 9 8 9 11 12 13 13 nan
nan 13 14 15 16 15 14 14 14 13 14 15 16 20 24 27 28 25 20 16 14 13 12 11 10 10 10 10 9 9 9 9 9 10 10 9 10 10 9 8 8 8 9 10 12 13 12 12 11 10 9 9 9 9 10 11 11 12 12 11 10 10 9 8 8 9 9 11 11 12 12 12 12 12 13 13 13 14 15 18 19 20 21 22 23 25 26 27 27 25 22 19 17 17 16 16 16 16 16 15 15 15 15 14 12 9 6 6 9 11 13 13 nan
nan 13 14 15 15 14 14 14 13 13 14 15 16 19 21 22 20 17 13 12 11 10 9 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 11 12 12 12 11 10 9 9 9 10 11 11 11 11 11 10 9 8 7 6 7 9 11 12 12 12 12 12 12 12 12 12 12 11 12 13 15 19 24 28 33 34 34 34 31 28 25 23 21 20 19 18 17 17 17 16 16 16 16 15 13 8 3 0 3 8 12 13 nan
nan 15 16 15 15 14 14 14 14 14 14 14 15 16 17 16 14 12 11 10 9 8 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 11 10 9 8 9 9 10 11 11 12 11 11 10 9 8 7 7 9 11 12 12 12 12 12 12 12 13 12 12 12 11 10 10 14 18 23 27 29 29 29 28 28 28 29 30 30 28 26 24 21 20 19 17 17 17 17 16 14 9 2 -2 -2 3 8 11 nan
nan 14 14 14 13 13 13 13 13 13 13 13 14 14 14 13 12 11 10 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 12 12 11 9 8 8 9 10 10 11 11 11 12 11 11 10 9 9 9 11 12 12 11 11 11 12 13 13 13 13 12 11 11 10 11 13 15 17 18 18 19 19 19 22 26 30 33 33 33 33 32 29 26 24 21 19 18 17 17 16 13 6 -1 -4 -3 3 7 nan
nan 12 12 12 11 12 12 12 11 11 11 12 12 13 12 11 10 10 9 8 9 10 11 12 12 12 12 12 11 11 11 10 10 9 8 8 8 8 8 8 7 6 6 7 8 10 10 9 8 8 8 9 10 10 10 10 11 11 11 11 10 9 9 10 11 10 10 10 10 11 12 13 13 13 12 12 11 11 11 12 12 13 13 13 13 13 13 14 17 19 22 24 26 28 31 34 34 33 30 27 24 21 18 17 17 15 11 4 -3 -6 -4 0 nan
nan 11 11 11 11 11 11 10 10 10 10 11 11 11 11 10 9 8 8 8 10 11 12 12 11 12 12 13 13 12 10 9 8 6 5 4 5 5 6 6 5 4 4 5 6 7 8 8 8 8 9 9 10 10 10 10 10 11 10 9 9 9 9 9 9 9 8 9 9 11 11 12 12 12 12 12 11 12 12 12 13 13 13 13 13 13 13 13 13 13 13 15 17 19 22 27 30 33 32 29 25 21 19 17 17 16 15 9 1 -5 -9 -9 nan
nan 11 11 10 10 10 10 10 10 10 10 10 11 10 10 9 8 7 8 9 10 10 10 9 9 11 12 12 11 10 8 7 6 5 4 3 3 4 4 4 3 2 3 5 6 7 8 9 9 9 9 10 10 10 10 10 10 10 9 9 8 8 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 13 13 14 14 14 13 13 12 12 11 11 12 13 13 16 18 21 23 25 23 22 20 20 19 19 18 18 15 9 1 -6 -11 nan
nan 11 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 7 9 10 10 9 8 8 9 11 11 10 8 7 6 6 6 6 6 6 5 4 3 2 1 2 4 6 8 10 11 12 11 10 10 10 10 10 10 10 9 9 9 8 9 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 12 12 12 12 13 13 14 14 14 13 13 12 12 11 11 12 12 12 13 13 14 15 17 20 23 26 27 27 27 26 24 21 17 12 6 -1 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 8 8 9 9 9 9 10 11 12 11 9 8 8 8 9 9 10 10 10 8 6 4 3 3 5 7 9 11 13 14 13 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 8 9 9 10 11 12 12 12 13 13 14 14 14 14 13 13 12 12 12 12 12 12 12 13 12 12 14 17 22 28 32 33 35 36 35 34 31 28 25 21 15 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 9 10 10 11 12 13 13 13 12 12 11 11 12 12 12 12 12 11 10 10 9 10 10 11 12 13 14 13 11 10 10 10 10 11 11 10 10 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 10 11 12 12 13 13 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 13 15 17 21 24 27 28 30 33 35 37 38 37 37 35 31 nan
nan 10 10 10 10 10 10 10 11 11 10 10 9 8 7 6 7 8 10 12 13 14 15 15 15 15 14 14 14 13 13 13 13 13 14 14 14 14 15 15 15 15 15 15 15 14 12 10 9 9 10 10 11 11 10 10 10 10 11 10 9 9 9 9 9 9 10 10 10 9 9 10 10 10 11 12 12 13 13 14 14 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 14 15 16 16 16 18 19 21 25 29 34 36 37 39 40 nan
nan 10 10 10 10 10 10 11 11 11 10 9 8 7 6 8 9 12 14 16 16 17 16 16 15 15 14 14 14 14 14 14 15 15 15 16 16 16 16 16 16 16 17 16 16 14 13 11 10 8 8 8 8 9 9 10 11 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 13 14 15 18 21 24 27 31 36 nan
nan 10 10 10 10 11 11 11 11 10 9 9 8 9 10 12 14 16 17 17 17 16 15 15 15 14 14 14 14 15 16 16 17 17 17 17 17 17 16 16 16 16 16 16 16 15 14 12 10 7 5 5 6 7 9 11 13 13 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 10 10 11 11 12 13 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 15 17 20 24 nan
nan 9 10 10 11 11 11 11 11 10 10 10 12 13 15 16 16 16 15 14 13 13 13 13 13 13 14 14 14 16 17 17 17 18 18 19 19 18 17 16 16 16 15 15 15 15 15 13 11 9 7 5 6 7 9 10 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 9 10 11 12 14 15 15 15 14 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 13 13 14 14 nan
nan 9 10 11 12 12 12 11 11 11 11 13 14 15 15 14 13 13 12 11 11 10 10 10 10 11 12 13 14 14 14 15 15 16 16 17 18 18 18 17 17 16 16 16 16 16 16 15 14 12 11 10 9 8 7 8 9 9 10 11 11 11 11 11 10 10 10 10 11 11 11 10 10 11 11 12 11 11 11 11 12 13 14 15 15 15 14 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 13 13 13 13 13 13 12 nan
nan 10 11 12 12 12 11 11 11 12 13 14 14 13 12 11 11 11 11 11 10 10 10 9 10 10 11 11 12 12 12 11 12 12 13 14 15 16 17 17 16 16 16 16 16 16 16 16 15 14 13 12 10 9 8 8 8 9 10 10 11 11 11 11 11 10 11 11 11 11 10 10 10 11 12 12 12 12 12 12 13 14 14 14 13 12 11 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 15 15 14 14 13 13 13 13 13 nan
nan 11 12 12 12 12 11 11 11 12 12 13 12 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 11 11 12 13 14 14 14 15 16 17 17 17 17 17 16 15 13 12 11 10 10 10 10 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 12 12 12 13 12 12 10 9 9 10 11 12 12 12 12 12 12 12 13 13 13 13 13 14 15 15 15 15 15 14 14 14 14 14 14 nan
nan 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 12 12 12 13 15 17 18 18 18 17 16 15 13 12 12 11 12 13 13 12 11 11 10 10 11 11 11 11 11 12 11 11 11 10 11 11 11 11 11 12 12 12 12 11 11 9 8 8 9 11 12 12 12 12 12 12 12 12 12 13 13 13 14 15 15 15 15 15 15 15 14 14 14 14 14 nan
nan 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 12 13 15 16 17 18 18 17 16 15 14 13 12 12 14 14 14 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 12 12 12 12 12 11 11 11 11 12 13 13 14 14 15 15 15 15 15 14 14 14 14 13 13 13 nan
nan 11 11 11 11 11 10 10 10 11 11 11 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 13 13 14 14 15 15 16 16 15 14 13 12 12 12 12 12 12 11 11 11 10 9 8 8 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 13 13 12 12 12 11 10 9 10 12 13 13 14 14 14 14 15 15 14 14 14 14 13 13 13 13 13 nan
nan 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 13 14 15 14 13 12 12 12 12 11 11 11 12 12 11 10 9 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 12 12 11 9 9 10 12 14 15 14 13 13 14 14 14 15 15 14 14 14 13 13 13 13 13 nan
nan 11 11 11 10 11 11 11 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 13 14 14 13 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 13 13 13 13 12 11 10 9 10 13 15 16 15 14 13 13 14 14 14 15 15 15 14 14 14 14 13 13 14 nan
nan 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 10 10 11 11 12 12 12 11 11 11 12 15 16 16 15 15 15 15 15 16 16 16 16 15 14 12 10 11 10 10 10 10 10 9 10 10 10 11 11 11 11 12 12 12 13 13 12 11 10 9 10 13 15 16 16 14 13 12 13 13 14 14 14 15 15 15 15 14 14 14 14 15 nan
nan 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 11 11 12 12 11 11 10 10 11 12 14 15 16 16 17 18 19 20 20 20 20 21 21 19 14 11 10 9 8 8 8 8 9 9 10 11 11 11 11 11 12 12 12 12 12 12 11 10 10 12 14 16 15 14 13 12 12 13 13 13 13 14 14 14 15 15 15 14 14 15 16 nan
nan 11 11 11 11 11 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 11 10 11 11 11 11 11 11 12 12 11 11 10 10 11 12 12 13 13 14 16 17 18 20 21 22 24 25 26 23 18 15 12 9 8 7 7 7 8 9 10 10 11 11 11 11 12 12 12 12 12 12 12 11 12 14 15 15 14 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 15 16 17 nan
nan 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 13 14 15 16 18 21 23 25 26 24 22 19 13 8 6 5 5 6 8 9 10 10 10 10 11 11 11 12 12 12 12 12 12 13 14 14 15 15 15 15 14 13 13 13 13 13 13 13 13 13 13 13 14 14 15 16 18 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 0 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 5 9 49 85 103 104 97 92 88 86 85 87 99 105 107 107 108 110 112 115 117 120 124 130 134 139 145 150 149 152 156 157 160 167 175 184 190 192 192 193 196 200 205 205 204 192 181 177 185 190 189 188 187 185 186 188 191 196 200 209 213 215 214 214 219 235 248 256 260 266 277 282 279 270 267 265 263 261 261 264
0 0 0 0 0 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 7 15 12 30 64 94 99 94 89 85 83 82 81 91 101 107 109 110 112 115 118 122 126 132 137 141 144 148 154 155 156 158 159 160 162 167 176 183 183 178 177 180 188 196 199 197 189 178 164 171 178 183 186 189 184 183 183 185 187 186 194 201 206 207 207 212 220 228 234 237 252 266 274 274 263 258 255 252 249 249 256
0 0 0 0 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 13 16 24 22 23 38 80 90 89 86 82 79 80 81 89 99 107 110 112 115 118 123 128 131 136 141 144 147 151 154 157 159 160 159 156 156 158 162 167 170 169 168 172 178 184 186 186 188 192 176 170 173 179 184 188 185 182 180 179 180 179 182 187 191 193 195 199 205 209 212 223 235 246 252 254 251 249 248 248 244 244 249
0 0 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 7 13 21 24 25 27 26 21 13 52 74 83 85 82 79 79 82 90 100 108 111 115 119 123 127 132 135 138 142 146 148 151 155 158 161 162 160 155 153 156 157 162 165 167 168 168 170 171 172 175 188 203 201 195 187 183 186 187 184 180 178 176 175 175 176 179 183 184 185 186 190 192 194 199 207 216 222 227 230 233 237 241 241 241 243
0 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 11 17 23 30 32 30 27 25 23 10 28 52 73 83 81 79 79 82 88 94 104 111 117 122 126 130 133 136 137 139 145 147 148 149 155 157 159 157 154 153 156 156 160 166 172 177 178 177 175 175 179 198 214 219 210 191 185 184 182 178 175 175 174 173 171 171 173 177 178 177 177 180 180 179 179 181 187 193 199 207 214 223 229 234 238 241
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 6 13 22 29 32 37 35 30 23 19 16 8 12 29 61 77 79 78 79 81 85 89 96 106 116 120 124 128 130 131 132 133 137 140 141 143 146 148 150 154 158 159 158 159 163 171 182 188 190 189 189 192 203 217 228 229 211 194 185 181 178 176 174 174 174 174 173 172 173 173 173 169 171 172 173 172 169 170 172 176 182 190 199 207 216 225 233 236
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 15 21 27 31 35 30 26 23 21 15 10 7 4 7 22 54 68 74 75 77 78 81 83 85 92 107 112 115 117 119 120 120 121 124 127 132 136 137 139 144 153 164 165 165 167 172 182 192 198 201 203 201 214 224 230 231 227 202 187 179 176 174 174 175 176 176 176 174 171 170 168 168 161 161 162 164 168 163 163 163 165 170 176 182 189 197 208 213 218
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 7 13 19 26 32 36 38 36 34 27 19 13 8 5 3 1 2 9 33 52 63 68 69 70 70 71 73 74 73 89 97 101 103 104 106 107 108 110 114 122 128 132 136 140 155 166 170 174 179 181 191 200 207 215 228 229 231 229 220 206 191 180 174 172 172 168 169 174 178 174 170 165 159 154 151 148 146 145 144 146 149 148 148 150 153 157 162 166 170 175 182 190 198
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 10 16 23 31 36 38 39 38 33 28 20 12 6 2 0 0 4 12 22 33 44 54 59 57 58 58 59 60 62 63 69 73 78 89 93 94 97 101 105 112 121 129 136 140 144 159 171 179 184 186 189 196 204 211 218 224 227 226 215 194 181 170 164 162 162 160 159 161 165 167 161 154 147 140 135 133 131 129 127 127 126 126 125 124 127 131 138 145 152 157 164 173 181 187
3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 9 15 23 28 33 36 35 32 30 25 19 13 9 6 2 1 0 0 1 4 9 17 26 33 31 30 34 40 46 45 50 54 58 60 63 74 79 83 89 99 107 116 125 134 139 145 153 162 171 182 184 185 186 188 191 194 197 200 201 197 179 163 153 146 144 143 142 141 141 144 143 140 137 132 127 125 122 121 122 122 121 121 120 117 112 108 109 110 113 120 132 141 150 163 176 180
6 4 2 1 2 1 0 1 1 0 0 0 0 0 0 3 10 20 29 37 41 41 38 31 24 19 13 7 3 1 2 2 1 0 0 0 0 0 1 3 8 3 5 7 9 15 27 33 38 45 53 60 65 70 76 82 95 103 110 118 128 131 138 145 151 155 164 167 169 169 169 167 167 166 163 161 156 145 139 131 121 121 121 122 122 121 121 125 126 128 131 128 128 126 125 125 125 124 123 121 119 112 109 107 105 105 109 116 122 131 143 158 171
9 8 7 5 4 2 2 3 4 4 2 1 0 0 1 5 15 27 38 46 48 46 42 34 26 18 11 6 3 2 2 2 1 0 0 0 0 0 0 0 2 9 11 9 12 13 15 15 15 19 38 55 66 73 81 84 89 93 96 99 103 108 112 115 115 122 130 135 137 138 139 136 133 129 126 125 121 117 113 107 99 98 100 103 108 115 127 130 130 132 138 139 139 138 138 133 127 123 120 120 121 118 115 112 110 109 110 112 114 119 129 145 162
11 11 12 11 8 7 6 7 9 9 7 3 2 3 5 10 17 26 34 40 43 43 41 36 30 23 16 9 4 2 2 1 0 0 0 0 0 0 0 0 4 19 35 44 41 39 35 30 21 22 45 68 78 71 74 78 80 81 81 83 83 83 83 84 87 97 101 103 106 107 107 106 103 100 97 95 91 85 79 77 78 80 81 85 97 108 116 121 125 127 130 130 130 132 136 132 126 122 123 125 124 121 117 114 113 115 116 115 114 115 125 142 160
19 19 19 18 16 14 12 10 11 12 12 10 8 10 14 18 21 24 29 31 34 36 36 34 30 23 16 8 2 1 0 0 0 0 0 0 0 0 0 1 3 10 21 28 42 51 55 55 49 55 63 72 73 54 61 65 65 63 63 63 62 62 62 61 63 64 68 75 79 81 81 77 70 65 66 66 64 61 59 60 64 67 70 77 92 102 108 112 116 120 122 125 128 126 128 129 131 134 134 131 127 123 118 115 116 118 117 113 109 110 121 138 156
27 28 27 25 23 20 15 15 15 15 15 16 20 23 27 30 33 35 35 35 33 31 29 27 23 17 11 6 2 1 0 0 0 1 0 0 0 0 1 3 3 4 6 11 23 33 41 47 55 59 58 58 58 57 55 52 49 47 46 44 43 43 44 43 44 49 57 58 56 56 52 46 42 40 41 43 45 46 48 52 56 60 63 73 86 96 102 107 112 115 118 119 122 125 126 130 136 144 146 142 133 128 124 120 118 116 113 109 106 109 120 137 147
30 31 30 29 28 27 23 24 26 28 29 31 35 37 40 43 48 47 43 35 28 22 18 15 13 11 9 6 4 2 2 1 1 1 1 1 0 1 2 4 5 5 6 7 7 9 17 22 26 31 38 34 29 31 31 32 32 33 31 30 29 30 30 30 32 34 39 32 31 32 29 26 25 27 29 31 35 39 44 49 53 56 60 65 74 88 97 103 109 115 118 122 127 131 134 137 144 153 161 161 149 142 136 129 123 120 116 111 111 119 131 143 149
30 29 29 30 31 33 34 36 40 44 45 46 47 48 47 46 46 43 38 30 21 13 8 6 7 8 9 9 8 6 5 5 4 4 3 2 2 3 4 5 7 8 9 8 8 7 6 8 8 9 9 8 9 8 8 10 11 11 15 18 17 19 21 23 23 25 22 12 12 18 19 18 20 22 24 27 31 34 38 43 48 52 56 60 67 81 93 103 112 121 126 131 136 141 146 148 151 157 170 180 173 162 155 151 144 138 131 127 127 135 147 158 163
31 31 33 36 39 43 46 49 53 55 54 52 51 49 43 41 38 33 27 20 12 6 4 5 8 10 10 10 9 7 8 10 11 10 7 4 3 3 4 5 6 7 7 7 7 6 6 5 5 5 7 6 5 4 2 1 1 0 0 1 5 9 11 9 10 15 17 12 10 15 15 16 17 20 22 25 27 30 35 41 46 51 56 62 67 76 95 111 121 128 135 142 148 154 161 159 163 173 184 189 189 186 184 182 170 162 156 152 150 156 167 177 182
37 39 43 47 51 54 56 56 55 52 49 47 45 41 35 30 24 18 13 8 6 5 6 11 14 15 15 14 12 11 12 15 16 16 12 7 4 3 3 2 3 4 4 5 4 4 3 2 2 2 2 2 1 1 0 0 0 0 0 0 1 2 2 1 3 6 9 11 9 7 8 11 13 15 20 24 28 33 38 46 52 58 64 71 85 102 116 127 135 144 150 154 160 169 176 179 183 189 192 193 194 194 195 191 186 179 171 166 169 177 185 192 197
45 49 53 58 60 60 56 50 41 38 36 36 34 30 25 19 13 9 4 5 7 10 13 20 21 21 21 21 19 19 19 19 19 18 12 7 4 2 1 1 1 2 2 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 2 1 3 7 12 15 24 31 37 44 51 57 63 69 73 82 102 120 130 142 153 162 167 169 173 177 184 191 194 195 196 196 194 193 191 192 191 188 181 173 172 178 187 193 199
54 57 60 60 59 55 47 38 32 28 25 24 23 20 15 11 9 7 7 10 15 18 20 24 26 26 27 26 25 26 26 25 22 16 11 7 3 1 0 0 0 0 1 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 9 16 22 24 29 35 41 48 54 61 67 72 78 91 108 124 133 142 154 162 168 171 174 177 181 186 191 192 193 194 195 194 192 189 187 188 193 194 188 179 175 182 187 195
60 61 58 54 49 42 33 27 22 18 15 15 15 15 12 9 10 11 14 18 22 24 26 29 31 33 33 32 32 31 30 29 24 18 13 8 3 1 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 15 19 25 30 36 41 47 53 60 66 72 77 84 101 117 128 135 144 153 161 167 171 172 175 181 186 189 185 185 188 190 191 189 186 184 185 192 193 191 187 187 188 187 188
59 57 52 45 38 31 25 19 14 11 11 11 12 12 13 12 12 14 19 23 26 29 33 37 39 40 38 36 35 33 31 29 25 22 17 12 6 3 1 0 0 0 0 0 1 2 2 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 4 11 18 22 27 32 37 41 46 53 59 66 75 85 94 106 120 130 133 138 146 153 161 169 171 172 176 181 183 182 182 185 187 188 187 184 180 180 181 182 180 179 181 184 186 187
48 46 42 37 32 27 22 16 11 9 9 11 13 14 15 16 18 21 24 29 32 36 41 44 43 41 40 39 37 35 32 29 26 23 20 16 10 5 2 0 0 0 1 2 4 5 4 2 1 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 1 2 5 10 17 20 25 29 32 35 38 41 46 53 61 77 89 98 104 115 124 128 131 138 145 151 161 169 171 173 176 179 182 185 187 188 187 184 181 179 177 176 177 177 174 175 180 183 184
38 36 33 31 29 27 20 16 14 12 12 13 16 19 23 26 28 30 33 37 41 45 46 45 41 39 38 37 36 36 32 29 25 22 19 15 11 7 2 0 0 0 1 3 7 9 8 5 2 0 0 0 0 1 2 1 1 0 0 0 0 0 0 0 3 7 11 15 19 20 23 25 26 28 30 33 36 39 52 70 83 93 102 110 119 124 127 134 143 151 158 164 168 172 176 181 185 186 186 184 182 179 175 173 173 173 172 174 173 170 173 176 175
38 35 33 30 28 28 25 21 18 17 18 18 20 24 30 33 36 38 40 42 45 44 41 38 35 34 33 33 32 31 30 27 22 20 17 13 9 4 1 0 0 0 1 4 9 11 11 8 4 2 1 1 1 2 3 3 2 1 0 0 0 0 0 0 5 10 13 14 16 17 17 18 19 20 22 26 28 34 47 63 77 90 100 110 117 123 127 135 144 149 152 156 164 171 176 183 184 182 179 177 176 172 168 167 170 172 168 167 168 167 169 170 169
42 38 34 30 27 26 24 22 22 21 20 19 20 26 33 37 40 41 43 43 41 37 32 30 30 29 29 28 27 26 25 24 21 18 15 11 7 3 1 0 0 1 2 6 10 13 12 9 6 4 2 1 1 2 2 2 2 1 0 0 0 0 0 0 2 6 9 10 10 10 11 12 14 16 19 22 26 35 48 61 75 89 102 114 121 125 127 133 140 148 151 153 158 165 171 175 174 171 168 166 166 165 165 165 166 165 163 159 159 159 161 164 166
41 37 32 27 24 23 23 24 24 24 23 23 25 33 37 40 42 42 40 37 33 30 29 30 29 28 28 26 25 24 22 21 19 16 13 9 6 3 1 0 0 2 5 9 12 14 14 10 6 2 1 0 0 1 1 1 1 0 0 0 0 0 0 0 0 1 3 4 5 7 8 10 12 15 18 22 29 39 51 62 74 87 101 113 122 124 126 131 138 143 144 145 148 154 160 161 159 156 155 157 163 167 163 160 157 154 152 154 152 153 156 159 160
36 35 31 26 21 19 21 26 26 27 28 29 30 32 34 35 36 36 33 30 27 26 27 28 27 25 25 24 23 22 20 18 16 12 8 5 4 2 1 0 0 3 6 9 11 12 10 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 11 13 15 17 26 36 44 51 61 71 82 92 103 112 118 123 128 131 134 135 136 138 139 146 151 149 146 149 153 155 152 151 152 154 155 157 156 153 152 154 155 154
29 29 25 20 17 18 24 28 29 30 31 31 28 26 25 26 26 26 25 24 24 24 24 24 23 22 21 20 20 20 18 14 11 8 5 4 3 2 1 0 1 3 4 6 7 7 7 6 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 5 7 9 11 13 15 19 28 36 42 48 55 63 72 80 87 96 104 111 118 125 128 130 131 131 132 136 142 149 146 148 152 155 156 152 153 156 156 158 155 152 149 149 150 151
22 21 20 17 18 23 29 31 31 30 28 26 21 17 15 16 18 18 19 19 18 18 18 18 18 16 16 15 15 14 13 12 10 8 6 4 3 2 1 1 1 1 2 3 3 4 4 4 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 7 9 10 12 14 19 25 33 39 44 50 57 65 70 76 83 90 96 103 111 118 122 126 128 129 132 134 146 148 146 148 151 155 155 155 158 157 158 157 153 148 145 145 147
18 20 20 21 24 28 31 31 29 25 22 17 14 12 11 13 14 15 16 16 14 12 12 11 9 8 8 9 10 11 12 12 12 10 7 5 3 3 2 1 0 0 0 1 1 2 3 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 6 8 10 12 14 16 19 28 33 39 45 51 58 64 69 75 82 86 93 100 106 109 113 117 123 126 127 136 142 141 142 141 142 144 145 143 144 147 150 155 151 149 152 153
23 25 25 25 27 30 33 32 27 23 19 16 15 13 12 13 13 13 12 10 8 7 6 6 5 5 5 8 11 14 15 15 13 11 7 5 4 3 2 1 0 0 0 0 0 1 3 3 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 8 10 12 14 16 22 28 33 39 45 52 57 62 67 74 80 85 90 97 100 103 108 112 114 120 126 131 131 129 129 131 134 136 135 133 130 136 143 146 147 151 160
34 33 31 30 33 37 43 45 35 28 20 19 23 21 19 15 12 10 8 7 6 6 7 8 8 10 12 15 15 16 16 14 12 10 7 5 4 3 2 1 0 0 0 0 0 1 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 6 7 10 13 15 19 23 26 34 39 44 48 53 58 65 72 78 81 85 90 94 97 101 101 103 109 117 119 119 119 119 124 126 123 115 114 115 118 121 121 122 131
46 39 37 38 38 38 36 35 33 30 26 28 34 29 26 18 9 8 8 9 10 12 12 12 13 14 15 16 15 15 14 12 10 8 6 5 3 2 1 0 0 0 0 0 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 1 2 3 5 8 11 14 17 20 23 27 29 32 35 40 45 50 56 63 68 71 74 77 80 82 84 88 91 96 99 101 100 102 107 109 106 99 100 100 99 101 100 103 111
50 44 41 35 30 25 21 19 18 19 19 19 19 20 20 18 15 14 13 12 13 14 14 14 13 12 11 11 12 12 11 10 9 7 7 6 4 2 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 1 1 3 5 8 11 14 17 20 22 23 24 25 28 30 31 33 38 43 46 46 53 59 64 69 74 77 80 84 86 85 87 91 95 92 87 86 87 88 91 92 91 87
34 28 22 17 15 13 12 11 13 13 13 12 11 10 11 12 15 15 13 11 13 14 14 13 11 8 8 8 9 10 10 9 9 8 7 6 3 1 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 0 0 0 2 3 6 9 11 14 16 19 19 19 19 19 19 19 19 20 23 24 24 30 38 45 52 58 62 67 71 76 77 78 82 87 82 77 76 76 79 77 67 49 45
18 13 10 8 7 6 7 8 8 8 8 7 6 5 6 7 12 16 15 10 10 11 11 11 8 7 7 7 8 8 8 8 7 7 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 4 5 6 8 10 13 13 14 15 14 14 14 14 14 14 16 17 19 23 30 36 41 47 52 59 63 66 69 73 72 69 67 68 62 61 60 49 36 30
7 5 4 4 4 4 5 5 6 5 3 3 3 3 4 7 9 10 9 7 6 6 7 6 5 5 5 6 6 6 6 6 6 6 6 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 6 8 8 8 9 9 9 9 9 11 12 13 14 16 22 27 31 35 40 46 51 55 59 62 61 58 57 60 50 40 36 31 29 26
2 2 1 2 2 4 3 3 3 2 0 0 1 2 4 5 7 9 8 7 4 2 2 2 1 2 3 5 5 5 5 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 4 4 5 7 7 9 10 11 13 14 17 21 26 29 33 37 41 46 50 52 52 49 51 50 43 31 26 23 22 22
0 0 0 0 0 0 0 0 1 1 0 0 1 3 4 6 6 6 4 2 1 0 0 0 0 1 2 4 4 4 4 3 3 3 3 4 4 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 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 3 4 6 7 9 10 11 12 14 16 19 22 25 27 31 36 40 42 42 42 45 46 43 30 24 22 19 19
0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 2 0 0 0 0 0 0 0 0 2 2 3 3 3 3 3 3 3 2 3 3 2 2 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 2 3 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 2 4 5 7 8 8 8 9 11 11 13 15 16 18 23 26 27 27 25 28 34 40 34 26 21 18 17 17
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 1 1 0 0 0 1 0 0 0 1 1 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 1 2 3 4 4 3 4 5 7 7 9 10 13 15 16 18 19 19 21 24 28 33 40 35 26 20 17 15 13
0 0 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 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 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 1 2 3 4 5 5 7 8 10 10 12 13 15 17 17 20 25 31 35 44 44 35 23 18 14 11
0 0 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 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 0 0 0 0 0 0 1 1 2 3 3 4 5 6 6 8 10 13 15 16 18 21 28 33 39 46 47 32 21 14 12
0 0 0 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 1 1 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 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 1 1 3 4 5 8 10 13 16 18 18 24 29 33 38 46 39 26 15 15
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0 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 1 1 1 0 0 0 0 0 0 0 0 0 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 2 3 6 9 13 16 20 23 26 28 31 36 37 35 34
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 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 2 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 2 7 9 11 14 17 20 23 26 28 31 34 38 43
3 2 2 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 1 1 2 1 1 0 0 0 0 0 0 0 0 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 1 7 9 9 9 10 12 15 17 19 21 25 30 35 41
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6 5 4 2 1 0 0 0 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 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 0 0 0 0 0 0 0 1 3 6 9 9 14 21
5 4 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 5 10
5 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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4 4 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 1 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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5 4 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 1 1 1 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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5 4 3 3 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 4 3 3 3 2 2 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 2 2 2 2 3 3 4 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 4 3 2 2 3 3 2 2 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 3 3 3 3 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
5 4 3 3 3 4 3 2 1 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 2 2 2 2 2 1 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
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