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 4 5 7 10 12 11 10 10 9 9 9 9 8 8 8 8 8 7 6 6 8 10 10 11 11 11 10 9 9 10 10 10 10 11 12 12 11 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 8 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 10 10 10 10 11 11 10 9 9 9 9 9 10 10 11 11 11 11 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 nan
nan 11 11 11 11 10 9 9 8 8 9 10 10 11 11 10 10 10 9 9 10 11 11 10 10 10 10 10 10 9 8 8 9 9 10 10 10 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 9 8 9 10 11 12 12 11 10 10 10 10 12 13 13 12 10 10 10 10 10 10 10 10 9 9 8 8 8 7 8 7 6 7 7 7 8 8 8 9 9 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 9 9 10 10 11 12 12 11 13 14 14 14 12 11 10 10 10 11 13 14 13 11 9 10 11 11 11 11 12 12 11 9 8 7 6 5 4 2 3 6 7 8 9 9 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 nan
nan 9 9 10 10 11 12 13 14 14 15 15 14 12 12 11 11 11 12 12 11 10 9 10 12 13 13 13 13 13 12 11 10 9 7 5 2 -1 -0 4 7 9 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 nan
nan 10 10 10 9 10 11 12 12 12 12 11 10 11 12 13 14 14 13 12 10 9 9 10 11 12 13 13 13 12 11 11 11 10 8 5 2 2 6 10 13 15 15 15 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 10 10 10 nan
nan 11 10 9 9 10 10 10 10 9 8 7 8 10 12 13 14 14 14 14 12 11 10 10 11 12 12 12 12 12 12 12 11 10 9 8 9 12 17 20 22 23 22 21 20 18 17 17 16 15 14 13 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 nan
nan 10 9 9 9 9 9 9 8 7 6 6 9 11 12 12 12 13 13 13 13 12 12 12 13 13 11 11 11 12 12 12 11 10 10 11 14 19 22 23 24 23 23 23 23 24 24 24 22 20 16 13 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 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 8 8 7 6 8 10 12 12 11 10 10 10 11 11 12 13 15 15 14 13 12 12 12 11 10 9 9 10 11 13 15 16 16 15 13 12 14 17 20 22 23 22 18 14 12 13 14 14 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 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 12 12 12 12 12 12 12 12 12 12 nan
nan 9 9 10 10 10 10 9 9 8 9 11 13 13 11 10 9 9 9 10 10 11 13 14 14 14 13 13 12 10 9 8 8 9 10 10 11 11 10 9 7 5 4 3 4 6 8 9 9 6 6 10 16 18 16 13 12 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 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 12 12 12 12 12 nan
nan 9 10 10 11 11 11 10 10 11 12 13 14 12 11 9 9 10 10 10 11 11 11 11 11 11 11 11 10 9 8 8 9 10 11 11 11 10 10 9 9 9 8 6 3 1 -1 -2 -3 -2 2 9 14 15 12 11 11 12 13 13 13 13 13 13 13 12 12 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 nan
nan 10 10 10 11 11 11 11 11 11 12 12 13 12 11 10 10 10 11 11 11 11 10 10 10 10 9 9 9 8 9 9 9 10 10 11 11 11 12 13 14 16 17 16 14 11 8 6 5 7 11 15 15 12 12 13 15 15 15 14 14 14 13 13 13 14 15 16 16 16 15 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 10 10 11 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 10 10 10 9 9 9 9 9 8 8 8 8 9 10 11 11 12 13 14 16 18 20 22 22 22 21 22 25 27 28 25 22 22 23 23 22 20 19 17 16 15 15 16 18 22 24 22 19 16 15 15 14 14 13 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 11 nan
nan 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 11 11 12 14 16 19 22 23 24 27 29 31 30 28 29 29 29 29 29 28 25 22 20 20 19 20 23 26 26 22 18 16 14 14 14 14 13 13 13 13 12 12 12 12 11 11 11 11 11 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 10 10 11 11 11 12 13 15 17 18 19 20 20 20 20 21 23 24 26 27 28 27 26 26 27 26 25 23 21 18 17 16 17 16 15 15 14 13 13 13 12 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 10 10 9 9 8 7 7 7 7 7 7 7 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 10 11 11 11 11 10 9 9 10 11 11 11 10 10 10 11 11 11 12 12 11 11 12 13 14 15 17 18 19 21 24 27 29 28 26 23 19 17 17 20 22 22 21 18 15 13 11 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 9 9 9 8 8 7 6 5 6 5 4 5 6 8 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 14 17 20 21 22 23 23 22 20 19 20 19 18 16 14 11 9 8 8 7 7 7 7 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 9 8 7 6 5 5 5 5 5 4 4 5 8 10 10 10 10 10 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 12 12 13 12 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 15 17 19 19 15 10 6 3 2 3 3 4 5 6 6 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 8 6 4 3 2 3 4 5 5 6 8 10 12 12 11 8 8 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 11 12 12 10 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 11 5 -0 -4 -6 -5 -2 -0 2 4 6 6 6 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 nan
nan 7 5 4 4 4 4 5 6 8 10 13 14 14 12 9 8 8 8 9 9 9 9 9 9 9 9 9 8 9 9 9 9 8 9 10 11 10 10 10 10 9 9 8 7 7 8 9 9 10 10 11 11 10 10 10 10 11 11 12 12 11 11 10 10 8 4 -1 -3 -3 -1 1 2 4 5 6 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 nan
nan 6 6 8 9 10 9 9 9 11 13 14 13 12 10 9 8 8 8 8 8 9 9 9 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 10 11 10 9 8 8 8 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 10 9 8 6 2 -3 -4 -3 1 4 6 7 7 8 8 8 9 9 10 10 10 10 10 10 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 11 11 nan
nan 8 9 11 12 11 10 9 10 11 11 10 9 9 9 9 9 9 8 8 7 7 7 7 7 6 5 5 6 7 7 8 8 8 8 9 8 8 8 9 9 9 9 9 9 10 10 10 10 12 12 12 11 11 11 10 10 10 11 11 11 10 8 5 1 -4 -6 -5 -1 4 7 8 9 9 9 10 10 10 10 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 11 11 11 11 11 11 11 11 nan
nan 8 8 8 7 6 5 6 8 8 6 6 6 7 7 8 8 8 8 8 7 7 7 7 7 6 7 7 9 9 9 9 8 8 9 8 7 7 7 7 7 9 9 10 11 11 10 10 11 12 11 11 11 10 10 10 10 11 11 11 11 10 9 6 1 -1 -0 3 6 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 nan
nan 5 5 4 3 4 5 7 8 7 6 6 6 6 6 6 6 7 7 8 9 11 11 10 10 9 10 12 13 12 12 11 9 8 8 7 6 7 6 6 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 11 12 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 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 13 nan
nan 5 5 5 6 9 11 12 11 9 8 8 8 7 6 6 6 6 7 10 12 13 13 11 9 9 10 11 11 11 11 9 7 6 5 5 6 6 6 7 9 10 11 11 12 11 11 12 11 11 11 11 11 10 10 10 10 10 11 11 11 11 12 14 18 20 19 16 13 11 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan 7 7 9 11 13 13 13 11 9 8 8 8 8 8 8 7 8 10 12 13 11 9 7 7 7 7 7 8 8 8 6 5 4 4 5 7 7 8 9 10 11 12 12 12 12 12 12 11 11 12 11 11 10 10 10 10 10 10 11 11 11 13 15 17 16 12 9 7 7 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 14 nan
nan 8 9 10 11 10 10 8 7 7 8 8 9 9 9 9 9 10 11 10 9 7 6 7 8 9 8 8 7 6 6 5 5 6 7 8 9 9 10 11 12 12 13 13 12 12 11 11 10 11 11 11 11 10 10 10 10 10 10 10 11 12 13 13 11 7 4 3 4 7 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 13 13 13 13 13 nan
nan 9 10 9 9 8 6 5 6 6 7 8 8 9 9 9 10 10 10 9 7 6 7 9 11 11 11 10 9 7 7 8 9 10 11 11 11 11 12 13 13 13 13 12 12 11 10 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 8 6 6 6 8 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan 10 10 10 10 9 7 6 6 7 7 7 8 8 9 9 10 12 12 12 11 11 12 13 13 12 12 11 11 11 12 14 15 16 16 14 13 13 14 14 13 13 12 11 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 12 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 nan
nan 10 10 9 8 6 4 3 3 4 5 6 7 8 9 10 12 13 15 16 16 16 16 16 15 13 13 13 14 15 17 17 18 18 17 16 15 14 13 12 12 12 12 11 10 9 9 9 10 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 12 14 15 16 15 13 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 13 12 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 13 nan
nan 7 5 2 -1 -4 -5 -6 -5 -3 -2 -0 2 5 8 11 13 15 16 17 18 18 18 17 15 15 15 15 16 16 16 15 15 14 14 14 13 12 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 12 13 13 15 15 14 13 13 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 12 12 12 nan
nan -1 -4 -6 -8 -9 -9 -8 -6 -6 -6 -6 -4 -0 4 8 11 13 13 14 15 16 16 15 14 14 14 14 14 14 13 12 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 12 15 16 16 15 14 13 13 13 13 13 13 13 13 12 12 12 12 11 11 12 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 11 11 12 13 14 nan
nan -4 -6 -5 -4 -2 0 2 2 1 0 -1 -1 -0 1 1 3 5 8 11 12 12 11 11 11 11 11 12 12 12 11 10 9 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 12 15 16 16 16 14 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 13 17 21 25 nan
nan 2 2 4 6 8 10 11 11 11 11 10 9 7 4 2 2 5 10 12 12 11 9 9 9 10 11 11 11 11 10 8 8 7 7 8 8 9 9 9 10 10 11 11 12 12 12 11 11 11 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 13 13 14 16 16 15 14 14 14 14 14 14 13 13 13 13 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 15 20 26 33 38 nan
nan 10 11 12 13 14 14 15 16 17 18 18 16 14 12 11 12 14 15 14 11 10 9 9 10 11 12 12 12 11 9 8 8 8 8 9 9 9 9 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 15 16 16 17 18 19 19 17 16 15 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 13 18 24 29 32 34 34 nan
nan 16 16 16 17 17 19 21 23 24 23 21 19 17 16 17 18 17 16 12 9 9 8 9 10 12 13 13 12 11 10 10 9 10 10 10 9 9 9 10 10 11 12 13 12 12 12 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 12 12 12 13 14 16 19 23 26 26 25 23 21 19 18 18 16 15 14 14 14 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 13 16 23 29 31 29 25 21 nan
nan 21 21 22 23 25 27 28 29 29 25 21 18 17 16 17 18 18 16 12 10 10 10 11 12 13 13 13 12 11 11 11 11 10 10 10 9 9 10 11 11 12 13 12 12 12 11 11 10 10 9 9 9 9 9 9 10 10 11 12 13 13 13 13 13 12 11 11 12 12 15 20 25 28 27 26 26 27 27 25 22 19 16 15 14 14 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 12 17 21 23 23 20 16 14 nan
nan 22 23 26 28 30 30 29 28 25 21 19 17 17 17 19 21 22 21 18 15 13 13 14 14 14 13 12 12 12 12 11 11 10 10 10 9 10 11 11 12 12 12 11 12 12 11 11 10 9 9 9 8 8 9 9 10 11 12 13 13 12 12 12 11 11 10 10 10 10 13 16 18 20 20 22 24 27 29 27 23 19 16 14 13 13 13 13 14 14 14 14 14 13 13 12 12 12 12 12 12 12 12 11 11 14 15 16 15 13 12 12 nan
nan 18 20 22 24 24 22 21 20 18 16 17 18 19 22 25 28 27 24 21 18 16 15 14 13 13 12 12 12 12 11 10 10 10 9 9 10 10 10 10 10 11 10 10 11 11 11 10 10 9 9 8 8 8 9 10 11 12 12 12 11 10 10 10 9 9 9 9 9 10 11 12 12 13 14 16 18 20 21 21 20 18 16 15 13 15 17 18 19 19 18 17 16 15 14 13 13 13 13 13 13 12 12 11 12 12 12 12 12 12 12 12 nan
nan 15 16 17 17 15 14 14 14 14 15 16 19 22 25 28 28 25 21 18 16 15 14 13 11 11 11 11 12 11 11 10 10 9 9 9 10 10 10 9 8 7 7 8 9 9 10 10 10 10 9 9 9 9 9 10 11 11 11 10 9 8 8 7 7 7 8 9 10 11 11 11 11 11 12 12 12 13 14 15 15 17 18 19 22 25 26 27 27 24 21 19 16 15 15 14 13 13 13 13 13 13 12 12 12 10 9 9 9 11 12 12 nan
nan 16 17 16 15 15 14 14 14 14 15 15 17 20 22 22 21 18 15 14 14 13 12 11 10 10 10 11 11 11 10 10 10 10 9 9 10 9 8 8 7 6 6 7 8 9 10 11 12 11 11 10 9 9 10 10 11 10 10 9 8 7 5 5 6 8 9 10 11 11 11 11 11 11 11 11 11 11 11 12 13 17 21 26 31 32 32 31 28 25 22 20 20 19 18 16 15 15 15 14 14 13 13 12 10 8 5 3 5 8 11 12 nan
nan 18 17 17 16 15 15 15 15 15 15 15 16 17 17 17 16 14 13 12 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 8 7 7 7 8 9 10 11 12 12 11 10 9 9 9 10 10 11 11 10 9 8 7 6 6 8 9 10 10 10 10 10 11 11 11 11 11 11 10 10 10 12 16 20 24 26 26 26 25 23 24 25 27 27 26 25 22 19 18 17 15 15 14 13 12 10 7 3 1 1 5 8 11 nan
nan 16 15 14 14 14 14 14 14 14 14 14 15 15 15 14 13 12 11 10 10 9 10 10 11 11 11 10 10 9 9 9 10 10 10 10 10 10 10 9 8 8 8 8 10 11 11 11 10 9 9 8 8 9 9 10 11 11 11 10 9 8 8 9 10 10 10 9 9 10 10 11 11 11 11 11 10 10 10 10 11 13 15 16 16 16 16 16 18 22 26 29 30 30 29 28 26 23 21 18 16 15 14 13 12 10 5 2 0 1 4 8 nan
nan 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 10 11 12 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 8 8 7 6 6 7 8 9 9 9 8 8 8 8 8 9 10 10 10 10 10 9 9 9 9 9 9 8 8 9 10 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 12 14 17 19 21 23 25 26 28 28 28 25 22 19 16 14 13 12 11 8 4 1 -2 -1 1 nan
nan 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 12 12 12 12 12 11 10 9 8 8 7 7 6 5 5 6 6 6 6 5 3 3 4 5 6 7 8 8 8 8 8 9 9 10 10 10 10 9 9 9 9 8 8 7 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 12 13 15 16 19 22 25 26 25 22 18 14 12 12 11 11 10 8 3 -1 -5 -6 nan
nan 10 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 12 11 10 9 9 9 9 8 7 6 6 6 5 4 4 3 3 3 3 3 2 2 3 3 4 6 7 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 8 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 13 15 17 17 17 16 14 13 14 14 14 14 14 13 9 4 -2 -6 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 9 10 11 11 10 8 8 7 7 7 6 6 5 5 6 7 7 7 7 6 4 2 1 1 1 3 5 6 8 9 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 12 14 17 21 23 24 24 23 22 20 17 14 10 5 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 8 7 7 7 8 8 7 7 6 7 8 10 11 11 11 11 9 6 4 3 3 4 5 7 9 11 12 11 10 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 8 9 9 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 13 18 24 28 29 30 31 31 30 28 27 25 23 19 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 7 7 7 8 9 11 11 11 11 11 11 12 13 13 13 13 13 11 10 9 9 9 9 10 11 11 12 11 9 9 8 9 9 10 10 10 9 8 9 9 10 10 9 9 9 10 10 9 9 9 8 8 8 8 8 8 9 10 10 10 11 11 11 11 12 12 11 11 11 10 10 11 11 11 11 11 11 11 12 15 18 21 23 24 25 27 29 31 33 34 34 33 30 nan
nan 9 9 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 7 8 10 11 12 14 14 14 14 14 15 14 14 14 14 14 14 13 13 13 13 14 14 14 14 14 13 12 11 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 13 13 13 14 16 18 20 24 28 30 32 33 34 nan
nan 9 9 9 9 10 10 10 10 10 9 8 7 6 6 6 8 9 12 14 15 16 16 17 16 16 15 15 14 14 14 14 14 14 14 14 14 14 15 15 16 16 16 16 15 14 13 11 10 9 8 8 8 9 10 10 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 10 10 10 11 10 10 10 10 10 11 11 11 11 12 11 11 10 10 10 10 10 10 10 11 11 12 13 14 17 20 22 25 28 nan
nan 9 9 9 10 10 10 10 10 9 8 7 7 7 9 11 13 15 16 17 17 16 16 16 16 16 15 15 14 15 15 15 15 15 15 15 16 15 15 15 15 15 15 15 16 15 15 13 10 8 6 6 6 8 10 11 13 12 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 11 12 13 16 19 nan
nan 9 10 10 10 10 10 10 9 8 8 8 10 12 14 16 16 16 15 15 14 13 13 14 14 15 15 15 15 15 16 16 16 16 16 17 17 16 15 14 13 13 13 14 15 15 14 14 12 10 8 6 7 8 9 10 11 11 11 11 10 9 9 9 9 9 9 10 10 10 11 10 10 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 12 13 nan
nan 10 10 10 10 10 9 9 9 9 10 11 13 15 16 15 14 13 12 11 10 10 11 11 11 12 13 13 14 14 14 14 14 14 15 15 16 16 16 14 13 12 12 13 13 14 14 13 13 12 12 11 10 9 8 8 8 9 10 11 10 10 9 9 9 9 9 9 10 10 10 10 9 9 10 10 10 10 10 11 11 12 12 12 13 13 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 nan
nan 10 10 9 9 9 9 9 9 10 12 13 14 15 14 13 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 11 11 11 12 13 14 14 14 13 13 12 13 13 13 13 13 13 14 14 14 13 12 10 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 nan
nan 10 10 10 9 9 9 10 11 11 12 13 13 13 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 11 11 11 11 12 12 13 13 13 14 14 14 14 14 14 14 14 13 12 11 11 11 11 10 10 10 10 10 11 11 10 10 10 9 9 9 8 8 9 9 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 12 13 13 13 12 13 13 13 13 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 14 14 15 15 15 15 15 15 14 14 13 13 13 13 13 12 11 10 10 10 10 11 10 10 10 10 10 10 9 9 9 9 9 9 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 12 12 12 12 12 12 12 12 13 13 nan
nan 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 14 15 16 16 16 16 16 16 15 15 14 14 14 14 13 12 11 10 9 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 12 12 11 11 11 11 11 11 11 10 10 11 10 10 10 9 9 9 9 9 9 10 11 11 12 12 12 12 12 12 12 12 13 13 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 12 13 14 14 15 15 15 16 16 16 15 14 13 12 11 11 10 10 10 10 9 8 7 6 8 9 10 10 10 10 10 9 9 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 9 9 8 8 9 9 9 10 11 11 11 12 12 12 12 12 12 12 12 13 13 13 nan
nan 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 13 14 15 15 15 14 12 11 10 9 9 9 10 10 10 9 7 7 7 8 9 10 10 10 10 10 10 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 10 9 8 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 13 13 13 13 14 nan
nan 10 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 10 10 10 10 10 10 10 11 11 12 13 14 14 13 13 12 12 11 10 9 10 10 10 10 10 9 10 10 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 9 8 9 10 11 12 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 nan
nan 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 11 10 10 11 10 10 10 10 10 11 11 11 11 12 12 12 13 14 14 12 12 12 12 12 12 12 12 13 13 12 11 10 10 10 10 10 10 11 11 12 12 12 12 11 10 10 10 10 10 11 11 10 10 9 8 9 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 nan
nan 10 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 10 10 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 11 10 10 10 11 12 13 13 14 14 14 15 15 15 15 15 16 17 16 14 12 12 11 11 11 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 9 9 10 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 nan
nan 11 11 11 11 11 11 12 11 11 11 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 10 10 10 10 10 10 9 9 10 11 11 12 13 14 15 16 16 16 17 18 19 21 20 17 16 15 13 13 13 13 12 12 12 11 11 10 10 10 10 10 10 10 11 10 10 10 10 11 12 12 11 10 10 11 11 12 12 11 11 11 11 11 11 11 12 12 13 13 13 12 nan
nan 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 12 13 13 14 14 15 16 17 19 20 21 21 20 18 15 14 13 12 12 11 10 9 9 9 9 10 10 10 10 11 10 10 10 11 12 12 12 11 10 10 11 12 12 12 12 11 11 11 10 10 10 11 11 12 12 12 12 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
0 0 0 1 1 1 0 1 1 1 1 2 2 2 3 3 5 6 7 8 8 9 8 9 10 11 11 11 12 13 13 13 13 12 12 25 36 40 44 47 50 52 53 54 54 55 56 57 57 57 58 56 56 56 56 56 58 59 61 63 66 66 66 66 67 66 67 71 74 75 77 77 74 71 69 66 63 62 63 64 67 71 78 84 91 99 105 110 117 127 135 140 150 162 171 178 182 184 188 190 194 203 210 214 218 221 222 222 222 220 218 216 214
0 0 1 1 2 2 1 1 2 2 2 1 2 3 5 6 7 7 8 9 9 10 11 13 14 13 13 14 15 16 15 15 16 15 12 18 28 38 41 44 46 47 48 49 49 49 49 49 49 50 50 49 48 49 51 51 53 56 58 60 61 62 64 64 64 63 63 64 67 72 74 76 75 75 74 70 64 61 58 57 61 64 70 77 85 94 99 103 109 117 125 129 139 149 159 166 172 177 182 188 193 195 196 198 200 203 206 209 209 208 208 209 208
0 1 1 1 3 3 2 2 2 3 3 2 4 5 7 7 8 9 9 10 11 11 11 12 14 16 16 17 18 18 17 16 16 15 13 13 18 33 37 39 40 41 42 43 43 42 41 41 43 43 44 44 46 46 48 49 52 55 57 58 59 60 61 61 60 60 59 60 62 64 65 66 68 71 76 73 67 61 57 57 61 64 69 78 87 96 101 104 108 113 120 125 131 136 141 149 155 162 171 181 190 189 188 187 185 191 195 198 199 198 198 200 203
1 1 2 1 2 3 2 1 1 2 3 4 6 8 9 7 8 10 11 12 13 14 14 16 18 19 18 17 17 18 18 16 14 13 12 10 9 24 31 33 34 34 36 37 37 37 38 39 41 41 42 42 44 45 47 50 52 54 54 54 55 55 55 56 56 56 56 57 57 59 59 59 60 64 69 68 64 60 57 60 65 71 77 84 90 97 103 107 108 112 117 122 124 126 133 139 145 149 153 166 174 178 177 174 173 177 181 186 190 190 191 195 199
2 3 2 1 1 1 1 1 1 2 4 6 7 9 8 9 11 13 14 16 17 18 19 19 17 18 18 18 17 16 16 14 13 12 10 9 8 15 23 28 30 31 32 33 35 37 38 39 39 39 39 38 41 44 46 46 47 48 48 47 47 47 49 49 50 51 52 53 56 58 58 58 59 61 63 63 61 58 58 61 64 69 73 80 85 90 94 98 99 103 108 113 116 120 128 135 139 140 145 152 155 155 155 154 156 159 165 172 177 181 184 189 195
3 4 3 2 1 1 1 2 2 3 5 7 8 9 11 14 16 17 19 20 20 20 19 17 15 16 18 19 18 14 14 13 12 10 9 8 8 11 17 26 28 29 31 33 34 35 36 36 36 35 34 35 37 39 40 41 41 41 41 42 42 42 44 46 48 49 51 53 55 58 60 58 59 60 61 60 57 55 54 55 57 61 65 70 75 78 83 88 89 91 93 100 104 110 119 127 129 130 136 140 141 139 137 138 140 141 145 151 156 162 167 172 180
4 4 3 2 2 2 2 3 4 5 6 8 10 13 16 19 21 22 23 23 23 21 19 17 16 17 18 18 14 10 9 10 10 9 10 10 10 12 19 24 26 28 30 32 32 32 32 31 31 29 30 30 31 31 33 35 35 36 37 38 41 42 44 46 47 49 51 54 55 57 59 56 56 57 59 59 56 54 51 48 49 53 56 60 64 66 70 75 78 78 78 84 88 93 100 110 111 116 122 128 130 127 127 127 126 124 125 126 129 134 141 149 158
3 3 3 2 1 1 3 4 5 6 8 12 15 18 21 22 24 24 24 24 22 21 19 18 18 17 15 12 9 7 6 6 8 8 10 11 11 12 20 23 24 26 28 28 27 26 26 25 26 26 27 28 28 29 30 31 32 33 34 36 39 42 45 46 47 48 50 52 54 53 53 52 51 51 55 56 57 56 53 50 49 49 50 52 56 57 60 64 67 68 69 72 75 78 83 86 91 97 103 108 111 112 112 113 113 114 113 110 108 112 118 125 134
3 2 1 1 0 1 3 4 6 8 12 16 19 23 25 26 27 25 24 21 19 19 19 18 17 15 12 7 6 5 5 6 7 8 9 11 15 17 18 20 22 23 23 22 21 20 20 21 22 23 24 25 25 26 27 28 30 32 34 37 40 42 45 46 47 48 50 53 52 51 50 49 48 48 49 50 52 53 52 50 50 49 48 48 50 51 52 54 59 60 60 60 61 63 66 68 71 73 78 83 87 90 92 95 99 102 103 101 99 99 102 108 115
3 2 1 1 2 3 4 5 7 10 15 20 24 27 30 30 29 26 22 18 17 18 17 15 12 10 8 6 5 5 6 6 7 7 8 8 8 10 12 14 16 13 12 13 15 17 18 18 20 22 23 23 23 24 25 28 30 32 35 37 39 40 43 45 46 46 46 47 47 46 46 45 44 43 43 43 43 43 43 43 43 42 44 44 44 45 46 47 49 50 50 50 50 49 51 53 54 54 57 61 66 70 72 78 84 90 93 93 93 95 97 100 106
4 3 3 2 3 4 6 9 13 17 21 24 27 30 32 31 29 27 25 24 20 16 14 11 6 6 5 4 4 4 6 6 5 5 5 5 5 5 4 4 6 4 5 6 6 8 12 13 15 18 20 21 22 23 25 28 30 32 33 34 35 37 39 40 41 41 40 40 40 40 39 38 36 34 34 34 32 32 33 34 36 35 36 38 39 40 41 42 44 45 45 45 45 45 45 45 46 47 47 49 52 56 60 64 70 75 80 82 87 93 97 100 105
6 6 5 4 5 6 9 13 18 22 24 26 29 31 30 29 27 26 25 22 20 16 12 10 8 5 4 4 4 4 4 4 3 3 3 4 4 4 4 3 4 7 8 6 7 6 5 6 7 8 14 18 21 23 25 27 28 28 29 29 30 32 33 33 34 34 33 33 32 31 31 29 28 26 25 24 23 23 23 23 24 26 27 29 31 34 35 37 40 43 43 44 44 43 42 42 43 43 43 44 46 50 52 55 58 62 66 71 79 88 95 101 103
7 7 7 7 7 9 13 18 22 26 25 25 26 28 26 25 25 24 22 20 18 15 13 11 9 6 4 3 3 2 3 3 3 3 3 3 3 3 4 3 4 9 13 14 13 12 12 11 8 7 14 20 23 22 21 23 23 24 25 25 26 26 26 27 27 26 25 25 24 23 22 21 19 18 16 16 16 16 15 15 16 18 19 22 25 27 29 32 35 37 39 43 45 44 42 43 43 44 45 44 43 45 47 49 52 56 61 68 77 85 91 96 102
9 10 11 13 13 14 17 20 24 25 24 23 22 23 23 23 24 22 18 16 14 13 12 11 9 6 3 2 2 2 1 1 2 2 2 1 1 2 2 2 2 4 7 9 15 17 17 17 13 15 17 19 21 13 16 18 18 18 18 18 19 19 20 20 20 20 19 19 19 18 17 15 13 13 13 13 12 11 11 11 12 14 16 19 22 24 27 30 33 34 36 39 42 44 46 48 49 49 46 44 42 42 45 48 50 55 62 70 79 87 95 102 107
15 18 18 19 21 23 25 23 23 23 23 22 19 20 21 21 21 18 14 12 10 9 8 8 6 4 2 2 1 0 0 0 1 1 2 2 1 1 2 1 1 1 2 4 8 11 12 13 14 15 14 15 16 15 14 13 13 13 13 13 13 13 14 15 15 15 15 15 15 13 12 11 9 9 9 9 9 9 9 10 11 13 15 18 21 24 27 30 31 33 36 39 43 45 48 50 51 49 47 45 44 45 48 51 54 60 67 77 88 100 108 111 118
20 23 25 27 29 31 32 29 26 24 22 19 19 19 19 19 18 16 13 10 7 6 5 4 4 3 2 1 1 0 0 0 1 1 0 0 0 1 1 1 1 1 1 1 1 1 3 5 6 8 9 8 7 7 7 7 8 9 9 9 9 10 10 10 11 12 12 11 10 9 7 7 6 6 5 5 6 7 8 10 11 13 16 19 22 25 27 29 32 35 38 40 42 45 48 50 50 50 51 53 54 57 60 62 66 72 80 89 100 111 117 122 136
27 29 31 33 34 34 34 32 29 25 23 20 18 17 16 17 17 16 13 8 5 4 3 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 2 2 3 4 5 6 7 8 8 8 9 8 4 3 5 5 5 5 4 4 5 5 7 8 10 12 15 18 21 23 25 27 30 35 39 41 43 44 45 47 49 50 52 57 62 67 73 78 82 84 89 96 105 113 120 122 133 149
35 35 35 36 37 36 34 31 28 23 20 16 15 14 14 14 12 10 8 5 4 3 2 2 4 4 3 3 3 2 2 1 0 0 0 0 0 0 0 0 1 1 1 1 1 1 0 1 1 0 0 0 0 0 0 0 0 0 0 0 2 4 5 4 4 6 7 5 3 5 4 4 4 4 4 4 5 6 8 11 14 17 20 22 24 26 28 32 37 40 42 44 44 46 47 49 53 59 65 72 79 85 89 94 98 102 107 112 118 123 130 144 159
42 40 39 38 38 36 32 27 20 17 15 14 14 13 12 10 7 6 5 4 3 3 3 4 6 7 7 6 4 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 1 1 1 1 1 0 1 3 4 5 4 2 2 2 2 2 3 4 7 9 11 14 17 20 22 24 27 30 33 34 37 40 43 44 44 45 47 51 58 67 76 83 90 94 97 99 103 105 107 111 116 124 135 147 158
45 42 40 39 37 33 27 20 15 12 12 12 13 12 9 7 5 4 3 2 3 4 6 6 8 9 8 7 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 1 1 0 1 2 3 3 5 8 10 14 16 18 20 22 24 27 30 32 33 35 37 39 40 41 41 44 48 55 66 77 86 93 98 103 104 107 106 103 103 105 108 116 129 139 147
44 41 38 36 33 29 23 16 13 12 11 12 12 10 7 6 5 4 3 4 4 6 8 9 10 11 10 10 8 8 8 7 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 1 0 0 0 0 0 0 0 1 3 6 7 7 10 13 15 17 19 21 22 24 25 27 29 30 31 34 35 36 35 36 38 42 49 60 72 80 87 94 101 105 106 105 105 102 100 100 102 107 116 126 133
45 39 36 33 30 26 22 18 14 13 13 12 10 8 5 4 4 4 4 5 6 7 8 10 11 12 11 12 12 12 12 13 12 9 5 3 0 0 0 0 0 0 2 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 1 3 5 7 9 11 13 15 17 19 20 21 22 23 24 25 25 25 26 28 29 29 30 31 34 40 50 61 70 76 82 88 96 99 100 100 101 100 99 99 101 106 108 112 118
43 37 34 32 29 27 25 21 17 15 14 12 9 7 5 4 4 5 6 6 7 7 8 10 11 11 12 13 14 14 15 16 16 15 12 8 3 1 0 0 0 0 2 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 7 9 11 13 15 17 18 19 19 18 18 19 19 19 20 20 20 22 23 24 25 26 30 38 50 58 66 73 78 82 87 90 91 91 91 91 91 90 92 93 95 97 102
42 38 35 33 31 30 26 22 19 16 13 10 9 8 8 7 7 7 7 7 7 7 8 9 11 13 14 16 17 18 18 18 18 17 13 10 5 2 0 0 0 1 2 4 6 5 3 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 7 9 11 13 14 15 15 16 17 16 16 15 15 14 14 15 15 16 18 20 20 20 22 26 34 46 56 62 68 75 77 78 79 79 79 79 79 79 79 81 83 85 86 89
41 39 36 34 32 28 23 21 19 17 14 12 12 12 11 10 10 10 10 10 11 11 10 9 11 14 16 18 20 21 21 19 18 17 14 11 7 3 1 0 0 1 2 4 6 5 4 2 1 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 2 3 5 7 8 9 11 12 12 13 13 13 12 12 12 12 11 10 11 12 13 13 15 17 18 18 19 22 28 38 50 58 63 67 70 70 72 73 73 73 72 72 72 73 77 80 82 86
40 38 35 33 30 27 24 21 19 17 15 13 12 12 11 12 13 14 13 14 15 14 13 13 14 15 16 18 20 21 20 20 18 16 14 11 6 2 0 0 0 0 1 4 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 5 6 8 8 9 9 10 10 11 11 11 10 9 9 8 8 9 10 11 13 15 16 15 16 17 19 23 30 39 49 55 58 60 62 64 67 69 70 70 70 72 77 79 79 79 81
41 39 37 34 28 25 23 22 20 16 12 11 10 10 10 12 14 16 17 18 19 19 18 16 17 17 16 18 19 18 18 17 16 14 12 9 5 2 0 0 0 1 2 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 4 5 7 7 8 8 8 9 8 8 8 7 7 8 8 9 10 12 13 13 13 14 15 17 20 24 30 40 46 49 52 54 57 60 63 65 68 70 72 78 79 81 84 85
40 36 32 27 23 21 20 20 16 12 9 9 9 10 11 13 15 17 19 21 22 22 21 20 20 20 19 19 19 18 18 17 15 13 11 7 3 2 0 0 0 2 4 5 5 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 4 5 6 6 6 7 7 7 6 6 6 6 6 7 9 10 11 11 11 12 12 13 15 17 20 22 28 35 41 45 49 53 56 58 59 61 64 70 75 79 85 91 94
34 29 25 20 17 17 16 16 14 11 8 7 9 9 10 13 16 19 22 23 23 23 22 21 21 22 21 21 21 20 20 18 15 11 6 3 2 1 0 0 1 2 4 5 5 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 4 4 4 5 5 5 5 5 5 5 6 8 9 9 10 10 10 11 11 12 13 14 15 17 20 25 32 38 44 49 52 53 54 56 61 68 73 78 84 89 93
26 23 19 16 15 14 14 13 12 10 7 7 9 10 12 14 17 20 22 23 24 24 24 24 24 23 23 23 22 22 20 15 10 5 1 1 0 0 0 1 1 1 2 2 2 2 3 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 4 4 4 3 3 4 5 6 7 7 8 8 8 9 9 9 10 11 12 12 13 13 15 18 23 29 33 36 41 44 47 50 55 60 66 72 82 90 93
19 16 14 13 12 12 12 11 10 9 8 8 9 11 13 15 18 20 21 22 22 23 24 24 23 23 23 22 21 20 16 12 7 4 3 1 0 0 0 0 0 1 1 0 0 1 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 3 2 2 3 4 4 5 6 7 7 7 7 8 8 9 9 10 10 10 10 11 12 14 16 18 20 23 27 31 36 40 43 47 53 63 73 81 85
14 12 11 11 10 11 11 10 10 10 10 11 13 15 17 18 20 22 24 26 22 20 19 17 15 16 16 17 16 14 12 10 8 7 5 3 2 1 0 0 0 0 0 0 1 2 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 2 3 3 3 4 5 6 6 6 6 6 6 7 7 7 7 7 8 9 10 11 11 11 12 12 13 15 17 20 24 28 31 35 41 51 63 75 83
13 12 10 9 10 12 15 17 16 16 15 17 19 23 25 27 27 28 29 26 21 17 14 11 11 11 12 11 10 10 10 10 10 9 7 5 2 1 0 0 0 0 0 0 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 1 1 1 1 2 3 3 4 4 4 5 5 5 5 5 5 6 6 6 6 7 8 8 9 8 8 9 10 11 12 12 13 16 18 20 24 31 43 55 63 73
15 12 11 14 19 26 34 39 35 34 29 31 39 41 43 42 39 37 35 29 24 19 14 12 12 12 11 9 8 9 10 11 11 10 8 5 3 1 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 1 1 2 2 3 3 3 3 3 4 4 4 4 4 4 5 5 5 6 6 7 6 6 6 6 7 8 8 8 10 10 11 12 13 17 24 32 40 54 69
22 19 22 30 36 41 45 48 51 54 54 57 68 65 66 59 47 43 39 33 26 21 18 16 14 13 10 8 9 10 11 12 11 9 6 4 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 1 1 2 1 3 3 3 3 3 3 3 3 3 3 3 4 4 4 3 3 4 5 5 6 6 6 7 7 7 8 9 10 10 13 18 26 45 59 65
34 35 40 41 41 42 43 44 47 50 51 52 55 60 65 67 61 55 42 28 20 16 15 14 13 10 8 8 8 9 11 11 10 8 7 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 1 1 2 2 2 2 2 1 2 2 2 2 2 2 3 2 2 2 3 3 4 4 4 5 6 5 5 6 7 8 9 11 16 26 39 45 42
33 35 35 36 36 35 37 39 40 39 38 38 39 40 41 44 46 40 27 15 12 11 11 10 9 7 5 6 8 9 10 10 10 8 7 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 1 1 1 1 1 0 0 1 1 1 1 1 1 1 1 2 2 2 3 3 3 4 4 4 4 4 5 6 7 10 15 20 20 14 14
28 29 28 28 28 28 27 26 25 25 23 22 20 17 14 12 14 15 12 6 6 7 7 6 4 3 4 5 7 10 10 9 9 9 6 5 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 1 1 1 1 1 1 2 2 2 2 2 2 2 3 4 5 6 7 9 11 8 6 5
20 20 19 18 17 17 15 13 12 11 9 7 6 4 2 2 2 2 2 1 2 4 4 3 1 1 2 4 8 10 9 8 7 6 5 4 3 2 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 1 1 1 1 2 2 3 4 4 3 3 3 3 4
9 9 9 9 8 7 5 4 3 2 0 1 1 1 0 0 0 1 2 2 1 1 2 1 0 1 2 3 7 8 8 7 5 5 4 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 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 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 1 1 1 1 1 2 3 3 1 1 2 2 2
3 3 2 2 2 1 0 0 1 1 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 1 3 4 5 6 5 5 4 4 3 3 4 3 1 0 0 0 0 0 0 0 0 1 1 0 0 1 1 2 3 4 6 5 4 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 1 2 3 3 1 1 1 1 1
4 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 1 1 2 3 4 4 4 4 4 4 4 4 3 2 0 0 0 0 0 0 0 1 2 2 2 2 2 3 3 4 4 5 6 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 1 2 1 0 0 1 1 1
4 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 1 1 1 1 2 3 3 3 3 3 4 4 4 2 1 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 4 5 5 5 4 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 2 1 1 1 2 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 1 1 1 1 1 2 2 2 3 3 4 2 0 0 0 0 0 0 0 1 1 1 2 3 4 5 4 4 4 5 5 5 5 5 4 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 2 4 5 4 5 4 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 1 2 2 2 2 2 2 1 1 0 0 0 0 0 1 1 1 1 2 4 5 5 6 5 4 4 4 5 5 5 5 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 7 6 6 6 4
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 1 0 0 0 0 0 0 1 1 1 2 2 4 5 5 5 5 5 5 4 4 5 4 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 10 12 10 8 7
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 2 1 0 0 0 0 0 0 1 2 3 4 3 4 5 5 5 5 5 4 4 4 4 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 1 1 4 5 10 15 16 12 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 0 0 0 0 0 0 1 1 2 3 4 3 3 2 1 0 0 0 1 2 4 4 5 6 5 4 4 4 4 4 4 4 4 4 3 3 2 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 0 0 0 0 0 0 0 0 1 3 4 6 8 10 14 17 21 26
0 0 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 2 2 2 2 3 4 5 5 3 2 2 2 2 3 4 5 6 7 7 6 4 2 3 4 4 5 5 4 3 2 1 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 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 8 10 12 13 15 21 29
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 2 1 1 2 4 4 4 3 3 2 2 3 5 6 6 6 6 6 5 3 3 4 5 6 5 4 2 1 1 1 2 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 1 2 2 2 3 5 6 6 8 10 12 15 18 25
0 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 1 1 1 1 1 0 1 2 2 2 2 2 2 3 5 7 6 5 5 6 6 5 5 4 5 6 6 5 3 2 2 2 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 1 1 1 1 2 5 8 11 15 18 24
0 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 0 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 2 2 3 5 6 5 6 7 7 7 6 6 5 5 6 6 4 3 2 2 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 1 1 1 0 1 3 5 5 11 20
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 1 0 1 0 0 1 1 1 1 1 1 1 0 0 0 0 0 1 3 4 4 4 5 5 6 7 8 7 6 5 6 7 5 4 4 3 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 1 2 2 2 1 0 0 0 1 1 4 10
0 0 1 1 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 0 1 0 1 1 1 1 1 1 1 1 2 1 1 0 0 0 0 0 1 2 2 3 3 4 5 6 7 7 6 6 6 7 6 4 3 3 2 2 2 1 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 1 1 1 2 1 2 3 3 2 1 1 0 0 1 1 0 0
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3 2 2 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 1 1 0 1 2 3 2 2 2 2 1 1 2 2 3 3 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 2 2 2 3 2 2 2 2 1 1 2 2 2 2 3 4 4 3 3 3 2 2 2 2 2 2 2 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0
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1 1 0 0 0 1 1 1 2 2 2 2 2 2 2 1 1 1 1 1 1 1 2 3 4 3 3 3 2 3 3 4 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 3 3 4 4 4 4 4 4 5 6 7 8 8 8 8 7 6 4 3 2 2 2 2 2 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 1 1 0 0 0 0 0 0
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1 2 2 2 2 1 1 1 2 2 1 2 2 2 1 1 1 1 0 1 1 1 2 3 3 3 4 4 4 5 5 6 7 7 7 6 4 3 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 8 10 11 11 11 11 11 12 11 10 8 7 5 4 4 3 2 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 1 1 1 1 0 0 0 0 0 0 0
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1 1 2 2 2 2 2 1 1 2 2 3 4 4 3 3 3 3 3 3 4 5 6 6 5 5 6 5 5 5 5 4 4 4 4 4 4 3 2 1 1 1 1 1 1 1 0 0 1 1 2 3 2 3 5 7 9 10 10 10 10 9 8 5 3 1 0 0 0 0 0 0 1 1 2 2 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 3 3 2 2 1 1 0 0 0 0 0 0 0