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 5 5 7 9 11 11 10 9 9 9 9 9 8 8 8 8 8 7 6 6 8 10 10 11 12 12 12 11 11 10 11 11 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 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 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 10 11 10 9 9 8 8 9 9 9 9 9 9 9 9 8 7 8 10 11 11 12 12 12 12 11 10 10 9 9 9 10 10 9 9 10 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 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 11 11 11 11 11 11 11 11 nan
nan 11 12 11 11 10 9 8 7 7 9 10 10 10 10 10 10 9 9 9 11 12 12 12 12 12 12 11 11 10 8 8 8 8 9 9 8 9 9 9 8 8 8 7 7 8 8 8 9 9 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 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 nan
nan 10 10 10 10 10 10 9 8 9 10 11 12 12 11 10 10 10 10 11 14 14 13 12 11 11 11 11 10 9 9 9 8 8 8 7 7 7 7 6 7 7 7 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 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 11 11 11 11 nan
nan 9 9 9 10 11 12 12 11 13 14 15 14 12 11 10 10 10 11 13 14 14 12 10 11 12 11 11 10 10 10 10 9 8 8 6 5 4 2 3 6 7 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 10 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 11 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 8 9 9 10 11 12 13 14 15 15 15 14 12 11 11 11 11 12 12 12 11 10 11 12 13 13 12 11 11 11 10 10 10 8 6 2 -1 -1 3 7 8 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 nan
nan 10 9 9 9 10 11 11 12 12 12 11 10 11 12 13 13 13 13 12 11 10 10 11 11 12 13 12 12 12 11 11 11 11 9 5 2 1 5 9 12 14 15 14 14 13 13 13 13 13 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 nan
nan 11 10 9 9 9 10 10 10 9 8 7 8 10 12 13 13 14 14 13 12 11 10 11 11 12 12 11 11 11 12 12 12 11 9 8 8 11 15 18 21 22 21 20 19 18 18 18 17 16 14 13 12 12 12 11 11 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 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 nan
nan 10 9 9 9 9 9 9 9 7 6 6 8 10 11 11 11 12 12 13 13 13 13 13 13 13 11 10 10 12 13 12 11 10 9 10 13 17 20 22 22 22 22 22 23 25 25 25 23 20 17 14 12 12 11 11 11 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 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 nan
nan 9 9 8 8 9 9 9 8 6 6 7 10 11 11 10 10 10 10 11 12 13 14 15 15 13 12 11 11 12 11 10 9 8 9 10 12 14 15 15 14 12 12 14 17 20 23 24 22 18 15 13 13 14 14 13 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 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 12 nan
nan 9 9 9 10 10 10 10 9 8 8 10 12 12 11 10 10 10 10 10 11 12 13 13 13 13 12 12 11 10 9 8 8 8 9 9 10 10 9 8 7 5 4 4 5 7 9 10 9 6 7 11 16 19 16 13 12 12 12 12 12 11 11 11 11 12 11 11 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 11 11 11 12 12 12 12 12 12 12 12 13 13 13 nan
nan 9 9 10 11 11 11 10 10 10 11 12 13 12 11 10 10 10 11 10 10 10 10 10 10 11 10 10 9 8 8 8 9 9 10 10 10 10 9 9 9 10 9 7 4 2 0 -1 -3 -2 3 10 16 16 13 12 12 12 13 13 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 nan
nan 9 9 10 10 10 10 10 10 10 11 12 13 12 11 11 11 11 11 10 10 10 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 13 15 17 17 17 14 12 9 7 6 8 13 16 17 13 12 13 15 15 14 14 14 13 13 13 13 13 14 16 16 15 15 14 14 14 14 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 11 11 11 11 11 11 11 12 12 nan
nan 9 9 9 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 9 10 10 9 9 9 8 8 8 9 8 8 8 7 7 8 9 10 11 12 14 15 16 18 20 22 22 22 22 23 26 28 29 25 22 22 22 22 21 20 18 17 15 14 14 15 18 22 24 22 19 16 15 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 9 9 8 9 9 9 9 10 9 9 9 9 9 9 9 9 9 8 9 9 10 11 11 12 12 12 14 16 19 22 24 25 27 29 31 30 28 28 28 29 28 28 28 25 22 20 19 19 20 23 26 25 22 18 15 14 13 13 13 12 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 10 10 10 10 10 10 11 11 11 11 11 nan
nan 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 10 11 12 13 14 15 17 18 19 20 20 19 20 21 22 24 26 27 28 27 26 26 27 26 25 23 21 18 16 16 16 16 15 14 14 13 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 10 10 10 10 9 9 8 7 7 7 6 6 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 9 10 11 11 11 10 10 9 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 12 13 14 15 17 18 19 21 24 27 29 28 26 22 19 16 17 20 22 22 21 18 15 12 11 10 10 9 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 nan
nan 10 9 9 9 8 7 6 5 5 5 4 4 6 8 9 10 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 12 12 11 10 10 10 10 10 10 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 19 17 14 10 9 7 7 7 6 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 11 10 10 11 11 10 10 11 11 11 11 11 11 12 12 12 12 nan
nan 9 8 7 6 5 5 4 5 5 4 4 5 8 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 13 14 14 12 10 9 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 5 3 2 2 2 3 4 5 5 5 5 5 6 6 7 7 8 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 8 6 4 3 2 3 4 6 7 7 8 10 12 12 10 8 8 9 10 10 10 9 9 9 9 10 10 10 10 9 9 9 10 11 13 14 13 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 10 5 -1 -5 -7 -6 -4 -2 1 3 4 5 5 6 6 7 7 8 8 9 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 nan
nan 6 5 4 3 4 5 6 7 9 11 13 14 14 12 9 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 11 11 10 10 10 11 10 9 9 8 8 9 10 10 10 11 11 11 11 10 10 11 11 11 12 12 11 10 10 9 8 4 -1 -3 -4 -2 0 1 3 4 5 6 6 7 7 8 8 9 9 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 6 6 7 9 10 10 9 10 12 13 14 13 12 10 9 8 9 9 9 9 9 9 9 9 9 9 8 7 8 8 9 9 9 8 9 9 9 10 11 11 10 10 9 9 9 10 10 10 11 12 12 11 11 11 10 10 10 11 11 11 10 9 8 6 2 -3 -5 -4 -0 4 5 6 7 7 8 8 8 9 9 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 nan
nan 7 9 11 11 11 10 10 11 11 11 10 9 9 9 9 9 9 9 9 8 7 7 8 8 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 10 10 10 11 10 10 11 12 12 12 11 11 11 10 10 10 10 10 10 9 8 5 0 -5 -7 -5 -1 3 6 8 9 9 9 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 11 11 11 11 11 11 11 11 11 11 nan
nan 8 8 8 7 6 6 7 8 8 6 5 6 7 7 8 9 10 10 9 8 8 8 8 8 7 7 8 9 9 8 8 7 7 8 8 7 7 8 7 8 9 10 11 11 11 10 10 11 11 11 11 11 10 10 10 10 11 11 10 10 10 9 6 1 -1 -1 2 6 8 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 5 4 3 3 4 6 7 8 7 5 5 5 6 6 6 7 8 8 9 10 12 12 11 9 9 10 11 12 12 11 9 8 7 6 6 6 7 7 7 8 10 11 11 12 11 10 10 11 10 10 11 10 10 10 10 10 11 11 11 11 11 11 10 10 11 12 12 13 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 4 4 5 6 9 11 12 11 8 7 7 7 7 7 6 6 7 8 11 13 14 13 10 8 8 9 10 11 11 10 8 6 4 4 5 6 6 7 8 9 10 11 12 12 11 11 11 11 11 11 11 10 10 10 9 10 10 10 11 11 11 12 14 17 19 18 15 13 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 7 8 9 11 13 13 12 10 8 8 8 8 9 9 8 8 9 11 13 13 11 8 6 6 6 7 7 7 7 6 5 3 2 4 5 7 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 10 10 9 9 10 10 10 10 10 11 12 14 16 15 11 9 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 9 10 10 11 10 9 7 6 6 7 8 9 9 10 10 10 10 11 10 9 6 5 5 7 8 8 7 7 5 4 4 4 5 8 9 10 10 11 12 13 13 13 13 12 12 12 11 11 11 11 10 10 10 9 10 10 9 10 10 10 11 12 12 10 6 4 3 4 8 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 nan
nan 10 10 9 8 7 6 5 5 6 7 8 9 9 10 10 11 11 10 8 6 5 6 8 10 11 10 10 8 7 6 8 10 12 13 13 12 12 14 14 14 14 13 13 12 11 10 10 10 10 10 10 10 9 10 10 9 9 9 9 10 10 11 10 7 5 5 6 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 12 12 12 12 12 12 12 nan
nan 10 9 9 8 7 6 5 6 7 7 8 8 9 10 11 12 12 12 12 11 11 12 13 13 12 12 12 12 12 13 15 16 17 17 15 14 14 15 14 14 14 13 12 11 10 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 9 9 10 12 13 14 12 11 11 11 11 11 11 11 11 11 11 11 12 11 12 12 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 9 8 8 7 5 4 3 3 4 6 6 8 9 11 12 13 14 16 17 18 17 17 16 15 14 14 14 15 16 17 18 18 17 17 16 15 14 13 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 14 15 16 15 13 12 12 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 nan
nan 6 4 2 -1 -4 -5 -5 -4 -2 -1 1 3 6 9 12 15 17 17 18 19 19 18 17 15 15 15 16 16 16 16 15 14 13 13 13 13 12 12 11 12 12 11 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 12 13 13 15 15 13 13 12 12 12 12 12 12 12 12 12 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 nan
nan -1 -3 -6 -7 -8 -8 -7 -5 -5 -6 -5 -3 0 4 8 12 13 14 14 15 15 15 15 14 14 15 15 14 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 12 15 15 15 14 13 12 12 12 12 12 12 11 11 12 12 12 12 12 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 12 13 nan
nan -4 -5 -5 -3 -1 1 2 2 2 1 -0 -1 -0 1 2 3 4 8 11 12 12 12 12 12 12 12 12 12 11 10 9 9 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 11 10 11 13 15 15 16 15 13 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 14 17 21 25 nan
nan 2 3 5 7 9 11 12 11 12 11 11 10 7 5 2 2 5 9 12 12 11 10 10 10 11 11 11 11 10 9 9 8 8 8 8 9 9 9 9 9 10 10 11 12 13 13 12 12 11 11 11 10 10 10 10 9 9 9 10 10 11 11 12 11 12 13 13 14 15 15 13 13 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 12 12 12 12 13 16 21 27 33 38 nan
nan 11 12 13 14 14 15 16 17 18 18 18 17 15 13 11 12 15 16 15 12 11 10 10 10 11 11 11 11 10 9 9 8 8 9 9 10 9 9 9 10 10 11 13 13 13 13 12 11 10 10 10 10 10 10 9 9 9 10 11 12 13 13 13 12 12 12 12 13 14 15 15 16 17 18 17 16 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 12 12 12 12 12 12 12 14 19 25 30 33 35 35 nan
nan 17 18 18 18 18 20 21 23 24 24 21 19 18 17 18 18 18 17 13 10 9 9 9 10 11 11 12 11 10 10 10 10 9 10 10 10 9 9 10 11 12 13 14 14 13 13 12 11 10 9 9 9 9 9 9 10 10 12 13 14 14 14 13 13 12 12 12 13 14 15 18 22 25 25 23 21 20 18 18 17 16 15 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 17 24 30 32 31 27 23 nan
nan 22 22 23 24 26 27 29 30 29 25 21 19 17 17 18 18 18 16 13 11 9 9 9 11 12 12 12 12 11 11 11 11 10 10 10 9 9 10 11 12 13 14 14 13 13 12 11 10 9 9 9 9 9 9 9 11 12 13 14 14 14 14 13 13 12 11 11 11 12 14 19 23 26 26 25 25 25 26 24 21 17 15 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 13 17 22 25 25 22 18 16 nan
nan 23 24 26 28 30 30 29 28 25 21 18 17 17 17 19 21 22 21 17 14 12 11 12 12 12 12 12 12 12 11 11 11 10 10 9 9 10 11 12 12 13 12 12 12 12 11 11 10 9 9 9 8 8 9 10 11 13 14 14 13 12 12 12 11 10 10 10 9 10 12 15 18 19 19 21 23 26 27 24 21 17 15 13 12 12 13 13 14 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 13 15 17 18 17 15 15 14 nan
nan 19 21 22 24 24 22 21 20 18 16 16 17 19 22 25 27 27 23 19 16 14 14 13 12 11 11 11 11 11 11 11 10 10 10 9 10 10 10 10 10 10 9 9 10 10 11 10 10 9 9 9 8 8 9 10 11 12 12 12 11 10 10 9 9 9 8 9 9 10 11 12 12 12 13 15 17 18 19 19 18 16 15 14 13 14 16 18 18 18 17 16 15 15 15 14 14 14 13 13 13 13 12 12 13 14 14 15 14 14 14 15 nan
nan 16 17 17 17 15 14 14 14 13 14 16 18 21 24 27 27 24 20 17 15 15 14 13 11 10 10 10 10 10 11 11 10 10 10 10 10 10 9 7 7 5 5 7 8 9 10 10 10 10 10 9 8 8 9 10 10 11 10 9 9 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 12 12 13 14 15 16 17 19 21 24 25 26 25 22 19 17 16 15 15 14 14 14 14 13 13 13 12 13 13 12 12 11 11 12 14 14 nan
nan 16 16 16 15 14 14 14 14 14 14 15 17 19 21 22 20 17 15 14 14 14 13 11 10 10 9 9 10 10 10 10 10 11 10 10 10 9 7 6 5 4 4 6 7 9 11 11 12 11 10 9 8 8 9 10 10 10 10 9 8 8 6 6 6 8 9 11 11 11 11 11 11 11 11 11 11 11 12 12 13 16 20 25 30 31 30 29 26 22 20 19 18 18 17 16 15 15 14 14 14 14 13 13 12 10 7 6 7 9 12 13 nan
nan 17 17 16 15 14 14 15 14 15 15 15 16 17 17 17 16 14 13 13 12 11 10 9 9 9 9 9 10 10 10 10 10 11 10 10 10 9 8 7 6 5 6 7 9 10 11 12 11 10 9 8 8 8 9 10 10 11 10 10 9 8 7 6 8 9 11 11 11 11 11 11 11 11 11 11 11 11 11 11 13 16 20 23 25 25 25 23 22 22 23 25 26 25 23 21 18 17 16 15 14 14 14 13 12 9 6 3 3 6 9 11 nan
nan 16 15 14 13 13 13 14 14 14 14 14 15 15 15 14 13 12 12 11 10 10 9 9 10 9 9 9 10 10 10 10 10 10 11 11 10 10 9 8 7 7 7 8 9 11 11 10 9 8 8 7 8 8 9 10 11 11 11 11 10 9 8 8 9 10 10 10 10 10 10 11 11 12 12 12 11 11 10 11 12 13 15 16 16 16 15 16 18 21 25 28 29 28 28 26 24 22 19 17 16 15 14 13 13 11 8 4 2 2 5 8 nan
nan 12 12 11 11 11 12 12 12 12 12 12 12 13 12 12 11 10 10 10 9 10 11 12 11 11 10 10 11 11 11 11 10 10 9 9 9 8 8 7 7 6 5 6 7 8 8 8 7 7 7 7 7 8 9 10 10 10 11 10 9 9 8 9 9 8 8 8 9 10 11 11 11 12 12 11 11 11 10 10 11 11 11 11 12 12 12 13 15 17 19 21 23 24 25 27 27 26 24 21 19 16 14 13 13 12 10 7 3 1 1 3 nan
nan 11 10 10 10 11 11 11 10 10 10 10 10 11 10 10 10 9 9 9 10 11 12 11 11 11 11 11 11 11 10 10 9 8 7 6 5 5 6 6 5 4 4 4 4 4 5 6 7 7 7 8 8 8 9 10 10 10 10 9 9 8 8 8 7 7 7 7 8 9 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 14 15 17 18 21 24 25 24 21 18 14 13 13 13 13 13 10 6 2 -2 -4 nan
nan 10 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 11 10 9 8 9 10 10 9 9 8 8 7 7 5 4 4 3 3 3 3 2 3 4 4 4 5 7 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 12 12 14 15 17 17 17 15 14 14 15 16 16 17 17 15 12 7 1 -4 nan
nan 11 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 10 10 10 9 8 7 7 8 8 7 7 6 6 7 7 8 8 7 6 4 2 1 1 1 3 5 6 7 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 9 9 9 9 9 10 10 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 12 12 12 11 12 14 18 22 24 25 25 24 23 21 18 15 11 6 nan
nan 10 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 9 9 8 7 7 7 8 9 8 8 7 7 8 9 10 11 11 11 9 6 3 3 3 4 6 7 9 11 12 11 11 10 10 10 11 10 10 9 9 8 9 9 9 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 11 14 19 25 29 30 31 32 31 29 27 25 24 21 18 nan
nan 10 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 7 7 7 8 8 9 10 11 11 11 11 11 11 11 12 13 13 13 12 11 10 9 8 9 9 10 11 11 12 11 10 9 9 10 11 11 11 10 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 8 9 10 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 13 16 20 23 24 25 26 27 28 29 30 30 30 29 27 nan
nan 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 6 7 8 10 12 13 13 14 14 13 13 13 13 13 13 14 14 14 14 14 13 13 13 13 14 14 14 14 13 13 11 9 9 9 9 10 11 11 10 10 9 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 13 14 15 15 15 16 17 18 19 22 26 27 29 30 31 nan
nan 9 9 9 9 9 10 10 10 10 9 8 6 5 5 6 8 11 14 16 16 16 16 16 15 14 14 14 14 14 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 14 13 12 10 9 8 9 9 10 10 10 11 11 10 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 12 12 12 12 11 11 12 12 12 14 16 19 21 23 27 nan
nan 9 9 9 10 10 10 10 10 9 8 7 6 7 8 11 14 16 18 18 17 16 16 15 15 15 14 14 15 16 17 17 17 17 17 17 16 16 15 15 16 16 16 16 16 16 15 13 11 8 6 6 7 8 10 11 12 12 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 14 16 19 nan
nan 9 9 10 10 10 10 10 10 9 8 8 9 12 14 16 17 17 16 15 14 13 13 13 13 14 14 15 16 16 17 18 18 18 18 18 17 17 16 16 15 15 15 16 16 16 16 15 13 10 8 6 6 8 9 10 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 12 13 13 13 13 12 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 13 14 nan
nan 9 9 10 10 11 11 10 10 9 10 11 13 14 15 15 14 13 12 12 11 11 11 11 11 12 13 14 14 15 15 15 16 16 16 16 17 17 17 17 16 15 15 16 16 16 16 16 15 14 12 11 10 9 8 8 8 9 9 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 10 10 11 11 12 13 14 14 13 12 12 11 10 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 13 13 13 13 13 13 nan
nan 9 10 10 10 11 11 10 10 10 11 12 13 13 13 12 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 12 13 14 14 15 16 16 15 15 15 16 16 16 16 16 15 15 15 14 13 11 9 8 8 8 9 9 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 11 11 11 11 11 10 10 10 10 10 11 11 12 13 14 14 15 14 14 14 14 13 nan
nan 10 10 11 11 11 11 10 10 11 11 12 12 11 11 11 11 11 11 12 11 11 10 10 9 9 10 10 11 11 11 11 11 11 11 11 11 12 13 13 13 14 14 15 16 16 16 16 15 15 15 14 14 13 11 11 10 10 10 10 10 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 10 10 10 11 12 12 13 14 15 15 15 14 14 14 13 nan
nan 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 12 12 11 10 10 10 10 10 10 11 11 11 11 10 10 10 9 10 10 10 11 11 13 14 16 16 16 16 16 16 15 15 14 14 14 14 13 12 11 11 10 10 11 11 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 12 11 11 10 9 9 9 10 11 11 11 12 12 11 11 11 10 10 10 10 10 11 11 12 12 13 14 14 14 14 14 14 14 13 nan
nan 10 10 10 10 11 10 10 11 11 10 10 10 9 10 10 10 10 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 10 10 9 10 10 10 10 12 13 15 16 16 16 16 16 16 16 15 15 14 14 13 13 12 11 11 10 10 10 9 8 8 9 10 10 10 9 9 9 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 9 9 10 10 10 11 11 11 12 12 13 13 13 14 14 14 14 13 13 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 12 12 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 9 10 11 13 13 14 14 14 15 15 16 16 15 14 12 12 11 10 10 10 10 10 9 8 7 6 7 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 8 9 10 11 11 11 11 11 12 12 13 13 13 14 14 14 14 13 13 nan
nan 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 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 10 11 11 12 13 14 15 14 14 12 11 9 8 8 9 9 10 9 8 7 6 6 8 9 9 10 10 10 10 10 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 9 8 9 10 11 12 11 11 11 11 11 11 12 13 13 14 14 14 14 14 14 13 nan
nan 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 11 11 12 13 13 13 12 11 11 9 8 8 8 9 9 9 9 9 9 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 9 9 9 11 12 13 12 11 10 10 10 11 11 12 13 13 14 14 15 15 15 14 13 nan
nan 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 10 10 10 11 11 11 11 11 11 12 13 12 11 11 11 11 11 12 12 13 14 14 13 12 11 11 11 10 10 10 10 11 11 12 12 11 11 10 10 10 11 11 11 11 11 10 10 9 10 11 12 13 12 11 10 10 10 10 11 11 12 13 13 14 15 15 15 15 14 13 nan
nan 11 11 11 11 11 11 11 11 11 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 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 12 13 13 13 14 14 15 16 17 17 17 18 18 17 14 12 12 11 11 11 11 11 11 12 12 12 11 10 10 10 11 11 11 11 10 10 10 10 10 11 12 13 12 11 11 10 10 10 10 10 11 11 12 12 13 14 15 14 14 13 12 nan
nan 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 10 10 10 9 9 10 11 11 12 13 14 15 16 18 18 18 19 20 21 20 17 15 13 11 11 11 11 10 11 11 11 11 11 11 10 11 11 11 10 10 10 10 11 11 12 12 13 12 11 11 11 11 11 11 10 9 10 11 11 12 13 13 14 14 13 13 12 nan
nan 11 11 11 12 12 12 11 11 11 10 10 10 9 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 11 10 10 10 10 10 11 10 10 10 9 10 10 11 11 12 12 13 14 14 15 16 16 17 19 20 21 20 19 16 13 11 10 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 13 13 12 12 12 11 11 10 9 10 10 10 10 11 12 12 13 13 13 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 1 1 1 1 1 2 2 2 2 2 3 5 6 7 8 10 11 13 14 14 13 13 14 16 16 15 14 13 13 13 12 13 12 9 19 25 26 28 30 31 31 30 30 29 31 32 34 36 36 36 37 39 41 43 44 47 48 52 61 69 77 83 88 93 99 103 106 105 103 103 101 102 103 105 108 111 111 118 125 128 131 136 140 145 149 152 154 156 158 161 164 171 176 179 182 185 193 197 201 204 205 206 214 218 221 226 231 234 237 240 247 261
1 1 1 0 0 1 2 2 2 2 3 4 6 7 7 9 11 13 14 14 13 14 17 19 19 17 14 13 14 15 14 13 12 11 7 10 18 24 25 27 28 27 27 27 27 29 30 31 32 32 32 33 35 37 38 37 39 41 47 57 64 72 77 81 86 87 84 80 78 80 84 83 84 89 94 100 103 110 117 123 120 122 127 131 135 142 144 148 151 153 153 153 157 160 163 167 169 174 177 181 186 189 190 193 194 193 196 207 212 215 217 222 230
1 1 1 0 0 2 3 4 3 4 4 6 7 7 8 10 13 15 15 15 15 17 19 19 18 16 14 14 15 15 13 11 9 8 7 7 12 21 24 25 25 24 24 25 26 28 28 29 26 26 27 29 31 32 31 31 32 34 37 50 58 63 67 70 71 69 66 65 63 63 71 74 78 85 91 96 102 109 117 126 123 121 120 121 122 126 128 131 135 140 141 141 143 147 154 157 159 162 163 163 163 167 171 174 177 182 188 192 195 198 199 202 204
1 1 1 1 1 2 3 4 4 4 6 7 8 9 11 13 15 16 16 17 18 18 18 17 16 14 12 12 12 13 13 11 10 8 7 7 7 16 21 22 22 21 22 24 26 27 27 23 22 23 25 28 28 27 25 25 25 28 30 36 41 47 53 53 53 55 59 63 67 71 72 74 78 85 90 95 99 104 111 119 119 118 117 116 116 117 117 115 115 118 121 122 123 126 136 141 145 149 152 153 154 154 155 158 161 164 169 174 179 182 185 190 192
1 2 2 2 2 2 3 4 5 5 7 8 10 10 13 16 18 18 17 17 18 18 17 15 13 11 10 10 11 12 12 10 9 8 7 7 6 11 17 20 21 20 22 24 26 26 23 22 22 23 24 25 24 23 21 20 20 22 25 28 32 37 40 44 48 51 55 56 60 65 70 74 78 85 92 97 101 102 108 110 106 103 102 103 103 101 98 97 96 98 99 100 101 105 110 115 120 127 134 140 142 143 143 147 149 150 151 154 161 165 171 178 182
2 2 2 2 3 3 4 4 5 7 8 10 12 14 18 21 21 19 17 17 18 17 15 10 8 8 9 10 11 11 11 10 8 7 6 6 6 7 12 19 20 21 23 25 26 24 22 21 22 22 21 21 19 17 17 18 17 18 20 23 27 32 35 38 42 47 50 51 53 57 62 69 74 80 87 93 98 96 97 95 93 90 87 86 85 82 78 77 78 79 80 81 83 85 88 92 94 100 105 111 119 126 128 133 138 143 144 145 148 151 156 163 169
2 2 2 2 3 3 4 5 7 9 11 13 17 20 23 24 23 18 17 17 17 14 9 6 6 7 8 10 9 8 9 8 7 6 7 7 6 8 14 19 19 21 23 24 22 20 20 20 21 21 18 17 16 15 16 16 16 17 18 20 24 26 29 32 36 42 44 46 49 50 56 62 66 69 71 76 80 80 79 77 79 79 78 77 77 74 73 71 71 70 69 70 71 70 72 78 78 79 81 86 96 101 106 111 117 121 126 130 134 139 144 149 152
2 1 1 2 2 3 5 6 8 12 15 18 22 25 26 25 22 18 17 17 14 10 7 6 6 6 6 6 6 6 7 7 6 6 7 8 8 10 17 18 19 20 21 20 17 16 18 19 18 17 15 13 13 13 14 15 16 17 17 19 20 22 25 28 30 35 39 43 45 44 49 53 56 58 60 64 66 68 69 66 66 68 69 71 76 74 73 73 74 71 68 68 67 66 65 69 69 67 66 69 74 78 81 87 93 99 103 107 111 115 123 132 139
2 1 0 1 2 4 5 8 11 15 19 23 28 30 28 25 21 19 17 15 11 8 7 7 7 6 5 5 6 7 7 6 5 6 8 11 15 17 17 16 17 18 17 15 14 14 15 16 14 13 12 11 11 13 14 14 15 16 16 17 20 22 25 26 26 28 32 38 41 41 42 46 51 53 55 58 59 60 63 62 63 64 64 64 69 70 71 72 76 73 71 72 73 72 70 69 67 64 61 63 63 63 64 67 70 72 76 80 83 86 92 102 114
5 3 3 3 4 7 10 12 15 19 22 27 30 31 28 25 22 19 15 10 8 7 7 6 6 6 5 4 5 6 7 6 6 7 7 8 8 10 11 12 13 11 9 9 10 12 12 12 11 10 10 9 10 12 13 15 15 15 15 17 18 20 21 21 22 24 25 29 32 34 35 37 43 45 46 48 51 51 53 55 57 58 58 60 62 65 67 64 66 68 69 70 70 72 73 71 68 66 66 66 64 59 57 58 58 58 59 60 63 65 67 74 82
8 6 5 6 8 12 16 20 21 22 24 28 29 28 26 23 21 18 13 10 7 6 6 6 6 5 4 4 6 7 7 7 6 5 6 6 5 4 4 4 5 3 3 3 3 4 7 7 7 8 8 9 10 13 15 15 15 14 14 14 15 15 15 17 20 22 23 24 25 26 27 28 30 31 33 34 37 38 39 41 44 45 47 49 52 54 59 59 61 63 63 65 65 66 67 68 66 65 65 65 66 60 58 57 55 54 55 55 56 57 59 60 64
10 9 9 10 12 17 21 24 25 25 26 27 26 25 22 21 18 14 10 7 6 6 6 6 6 5 5 6 7 8 7 6 5 5 5 5 4 3 3 2 3 5 5 4 5 4 3 2 2 3 6 10 12 14 14 13 12 12 12 12 11 11 12 14 16 19 19 18 18 19 20 20 21 21 20 20 20 20 21 23 25 26 28 32 39 44 47 51 54 55 57 59 60 61 60 59 60 61 62 62 63 59 57 56 56 56 56 56 55 56 56 57 58
10 11 14 16 17 19 21 24 26 25 25 25 23 20 17 16 13 9 7 6 7 8 8 8 8 7 7 7 7 6 5 4 4 4 4 4 4 3 3 2 3 8 13 15 11 9 7 5 4 4 8 13 15 11 10 11 11 10 10 10 9 9 9 9 10 9 10 11 12 12 12 12 11 10 8 8 7 7 7 7 9 12 14 18 29 32 35 39 44 46 49 51 54 56 55 55 56 58 59 59 58 56 54 55 57 59 60 60 59 58 57 56 56
13 14 18 21 21 19 19 22 24 25 25 23 19 16 14 10 7 4 4 6 7 9 10 11 11 9 7 5 3 2 2 3 3 4 4 4 3 2 2 2 2 4 7 8 11 12 12 11 10 10 11 12 12 6 7 8 8 7 7 7 6 6 6 5 6 5 4 4 6 6 5 4 3 3 2 2 2 2 2 2 4 5 7 11 17 20 25 30 33 37 41 44 46 50 53 55 56 56 57 57 57 56 55 56 59 60 59 59 59 59 58 56 54
17 19 23 25 25 23 21 22 24 24 21 17 14 14 12 9 6 4 5 6 7 8 11 11 11 9 7 4 3 3 3 2 2 3 3 3 2 2 3 3 2 2 2 3 6 8 9 9 10 9 7 6 7 7 6 6 5 4 4 4 3 2 3 3 3 3 3 3 2 2 2 1 1 0 0 0 1 0 1 1 2 3 4 8 12 16 20 25 28 33 36 40 43 46 50 52 54 56 57 58 58 58 57 58 59 58 55 55 56 55 54 55 54
24 27 28 29 29 27 25 25 25 22 19 16 15 15 14 12 10 9 9 9 8 8 10 11 11 11 10 8 6 5 4 3 2 2 2 3 3 2 2 2 2 2 2 1 1 1 3 3 3 4 4 3 2 3 3 3 3 2 1 1 1 1 1 1 1 1 3 2 1 0 0 0 0 0 0 0 0 0 1 1 1 2 5 8 13 17 20 24 28 32 35 38 41 44 48 51 54 58 61 61 60 60 59 58 56 55 53 54 54 54 53 55 55
27 29 30 31 31 30 29 27 24 21 19 18 17 16 14 15 14 14 13 11 10 9 9 10 11 12 11 10 8 7 5 3 2 1 1 1 1 1 2 3 3 3 3 3 1 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 10 14 18 22 25 29 33 36 40 42 45 48 52 55 59 61 63 62 62 61 60 57 55 54 54 53 53 54 57 59
32 33 35 35 33 32 29 26 23 21 21 20 18 16 15 16 15 14 12 11 9 9 9 10 12 12 11 10 9 8 6 4 3 2 1 0 1 2 3 3 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 5 8 13 18 21 24 27 30 34 38 41 44 47 50 54 56 58 60 61 62 62 60 58 56 54 53 53 52 54 55 58 62
40 40 40 38 36 33 29 25 22 23 23 22 20 17 14 13 12 11 10 9 9 9 10 12 13 12 11 10 9 9 7 5 3 2 2 1 2 2 2 2 4 5 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 5 8 12 16 21 25 27 30 32 35 39 43 43 46 49 53 55 56 58 59 59 58 57 54 53 52 51 51 53 56 59 62 67
46 43 41 38 36 33 30 27 26 26 24 22 18 15 13 12 10 9 9 9 10 10 11 13 13 12 12 11 10 10 9 7 5 4 4 3 2 1 0 1 3 4 5 4 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 1 1 2 3 5 8 12 17 20 24 26 28 31 32 34 36 38 40 42 45 48 50 52 54 55 55 54 51 49 48 48 48 49 53 58 60 66 72
44 41 39 37 35 33 30 28 26 25 23 19 16 14 12 12 11 11 11 11 11 11 12 14 15 14 12 11 11 12 12 12 11 10 7 4 1 0 0 1 2 3 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 1 1 2 2 3 5 7 9 12 16 18 21 24 26 27 29 30 31 32 32 34 35 38 40 42 44 46 49 50 49 46 44 43 44 45 46 47 51 58 66 73
45 42 39 37 35 33 32 28 26 23 19 16 15 13 13 12 12 12 12 12 12 12 12 12 13 12 11 12 12 14 15 17 17 13 8 4 0 0 0 0 0 1 3 4 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 1 2 3 4 5 6 8 10 12 15 17 19 21 23 25 25 25 26 26 27 28 28 29 31 33 35 37 38 41 43 42 41 41 41 41 43 47 52 57 60 65 71
49 44 40 37 35 34 32 28 24 20 16 15 14 13 13 13 12 12 11 11 11 11 10 11 12 13 13 14 15 16 18 21 20 17 12 7 3 1 0 0 0 0 2 4 4 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 2 3 4 5 6 7 8 10 11 13 15 17 19 20 22 22 22 21 21 21 22 23 24 25 26 28 29 30 31 33 35 36 36 37 39 40 42 48 53 57 60 64 70
55 49 43 38 34 30 27 25 22 18 16 16 15 14 14 13 12 11 10 10 9 9 10 12 13 13 15 16 18 19 20 22 21 19 16 11 6 3 1 0 0 1 2 3 5 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 6 7 7 8 8 8 9 11 13 15 17 17 18 19 19 19 18 18 19 19 20 20 21 22 22 23 25 26 27 29 31 33 34 36 38 41 48 54 58 61 68 75
53 45 40 37 34 30 27 24 22 19 18 18 17 16 15 14 12 10 10 9 9 10 12 14 15 16 17 18 20 22 22 21 20 17 16 12 8 4 1 0 0 1 2 4 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 6 6 7 7 7 8 8 9 10 12 14 15 15 16 15 15 16 16 17 18 19 18 18 17 18 19 21 22 23 25 26 26 28 30 32 35 41 50 55 58 64 73 81
48 43 40 38 36 33 30 26 23 20 18 17 16 14 13 11 9 8 9 9 10 12 13 15 16 17 18 19 20 20 21 21 20 16 14 11 7 2 0 0 0 0 2 4 5 5 4 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 4 5 5 5 5 6 6 7 7 7 8 9 10 12 13 13 13 13 14 15 16 17 17 17 16 15 15 15 16 18 18 20 22 23 24 24 26 29 34 41 48 54 60 69 77 84
47 43 40 37 35 32 28 25 22 19 16 15 13 11 9 8 8 8 8 9 11 13 15 17 19 21 21 20 19 19 19 18 16 14 12 9 6 1 0 0 0 1 2 4 6 6 5 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 3 3 3 3 4 4 5 6 6 7 7 8 9 10 11 11 11 12 13 15 15 15 15 14 14 14 14 15 17 17 16 16 17 18 20 21 23 26 33 39 46 54 62 69 76 82
44 40 36 33 30 27 25 22 20 16 13 11 7 5 6 7 8 9 9 11 13 15 17 19 22 24 25 23 22 20 19 19 17 14 11 8 5 1 0 0 0 2 4 5 6 5 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 3 3 3 4 5 6 6 6 7 8 9 10 10 11 12 13 14 14 14 12 12 12 13 13 13 13 13 13 13 14 14 16 17 20 24 30 37 44 51 59 67 72 75
36 33 29 24 22 21 20 18 15 12 10 7 6 6 6 7 9 11 12 13 15 17 19 23 26 28 28 27 25 23 21 18 14 11 8 6 4 2 1 0 1 2 4 5 5 5 5 3 1 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 4 4 5 6 7 8 9 9 10 10 11 12 12 12 12 11 10 10 11 11 10 10 11 11 11 12 12 13 15 18 23 29 38 45 52 59 65 69 73
27 25 20 17 16 16 15 14 12 10 8 5 5 6 7 8 9 12 14 16 19 21 24 27 29 29 28 28 28 26 22 16 11 8 6 5 3 2 1 0 1 1 1 2 4 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 3 4 4 5 6 6 7 8 9 10 10 11 11 11 10 10 10 10 10 9 9 8 9 10 10 10 10 10 12 13 16 21 27 37 43 48 52 57 64 69
22 19 16 15 14 14 13 12 10 8 7 6 6 8 9 9 11 13 16 18 22 24 26 27 26 25 26 27 26 23 17 12 9 7 6 4 2 1 0 0 1 1 1 0 1 2 3 3 1 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 3 3 4 5 6 6 7 8 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 14 18 23 31 38 42 45 50 56 61
19 17 16 16 15 15 15 14 13 11 11 10 11 12 14 14 15 17 19 22 21 21 20 19 18 18 19 20 19 16 12 10 9 8 7 5 3 1 0 0 0 0 0 0 1 1 1 2 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 4 5 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 6 6 7 8 8 9 9 9 10 11 13 16 20 26 32 37 41 46 53 58
18 18 17 17 17 18 21 22 21 18 17 17 18 19 21 22 23 24 24 23 20 17 14 12 12 11 11 12 12 13 12 11 11 9 7 4 1 0 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 1 1 1 1 1 2 3 4 5 6 6 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 7 7 8 9 9 10 11 12 15 19 23 28 33 38 42 48 52
21 21 21 22 26 32 40 44 39 36 31 31 36 36 36 34 32 31 28 25 21 15 11 10 10 11 11 10 12 12 12 12 12 9 6 4 2 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 1 1 0 0 1 1 2 3 4 5 6 6 6 6 6 5 5 5 6 7 7 6 6 6 7 6 6 6 6 7 8 9 9 11 13 15 17 21 26 31 36 41 46 51
29 28 31 37 41 46 49 52 53 53 52 54 62 57 55 48 35 31 27 23 18 14 11 11 11 12 12 12 12 12 12 12 11 8 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 1 2 3 4 4 4 4 5 5 5 4 4 4 4 5 5 5 5 5 6 6 6 6 6 6 7 8 9 11 13 16 19 23 27 32 37 49 54 53
42 42 45 47 46 45 44 44 45 45 45 46 48 51 53 50 42 36 26 17 13 11 11 12 12 12 10 11 11 11 11 11 10 8 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 1 1 2 3 3 3 3 3 3 3 3 3 3 3 3 4 3 4 5 5 5 5 5 6 6 6 7 8 10 13 16 23 29 32 36 42 50 52 47
39 39 39 39 38 35 33 32 31 31 33 32 31 30 30 30 31 25 17 10 9 10 11 11 10 9 8 9 10 11 12 11 9 7 6 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 1 1 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 3 4 4 5 5 5 5 6 7 8 10 13 16 22 30 36 41 43 40 30 28
33 31 30 29 26 23 21 20 19 20 20 19 17 15 13 12 14 14 12 7 7 8 10 10 8 6 7 8 10 12 11 10 8 6 6 5 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 0 0 0 0 0 0 0 0 1 1 1 1 1 2 2 2 3 2 3 3 3 3 4 4 4 5 5 5 6 7 10 13 17 23 30 31 33 35 30 24 20
24 20 19 17 14 12 11 10 9 9 8 7 6 5 5 5 5 5 5 4 5 6 7 8 6 5 6 8 10 10 9 8 7 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 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 1 1 1 2 2 2 2 2 3 3 3 3 3 4 5 5 5 7 9 12 17 23 29 25 19 17 15 16 16
9 8 7 7 6 5 3 3 2 1 1 1 2 2 1 1 2 4 5 5 4 4 5 5 3 3 4 8 9 9 8 7 5 4 3 3 2 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 1 1 1 1 2 2 2 2 2 2 2 2 3 3 4 5 6 9 12 16 22 26 23 16 15 13 12 13
1 2 2 2 2 0 0 0 0 0 0 0 1 1 1 1 1 2 2 1 1 1 2 2 1 1 2 5 7 7 6 5 4 4 4 4 4 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 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 1 1 1 1 1 2 1 1 1 1 1 2 2 2 3 4 6 8 11 14 22 27 25 17 14 13 12 12
2 1 0 1 0 0 0 0 0 0 0 0 0 1 1 1 2 1 0 0 0 1 1 1 1 1 0 2 4 4 4 4 4 4 5 6 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 2 3 4 5 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 1 1 0 0 0 0 0 0 1 1 1 1 2 3 4 6 8 11 15 20 26 21 15 12 11 9 11
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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 2 2 2 2 3 3 2 2 2 1 0 0 0 0 0 0 1 1 1 2 2 2 2 1 2 2 2 2 2 3 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 1 2 5 10 15 20 26 30 35 39 39 38 34 32
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