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 10 10 9 9 9 8 8 9 8 7 6 6 6 8 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 8 9 10 11 10 9 9 9 9 9 9 9 9 10 10 9 9 8 8 8 10 10 11 11 12 12 12 11 11 11 10 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 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 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 10 11 11 nan
nan 11 12 12 11 10 9 8 8 8 9 10 10 11 11 11 10 10 9 9 11 12 12 11 11 12 12 12 12 11 10 9 9 9 9 8 8 9 9 9 8 8 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 10 10 10 9 8 9 10 11 12 13 13 11 10 10 10 12 14 14 13 11 11 12 12 12 11 10 10 9 8 7 7 6 7 7 7 7 7 8 8 8 8 8 9 9 9 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 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 12 12 12 12 12 12 11 11 11 11 11 nan
nan 9 9 10 11 12 12 11 11 13 14 15 15 14 13 11 10 10 11 13 14 14 12 11 12 12 12 12 11 11 10 9 8 7 7 6 6 4 3 4 7 7 8 8 9 9 9 10 10 10 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 11 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 11 11 11 11 11 11 nan
nan 8 9 9 10 11 12 13 14 14 15 16 15 13 12 12 11 11 12 13 12 11 10 11 13 13 13 12 11 11 10 10 9 9 8 6 3 0 0 4 7 8 9 9 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 11 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 10 10 10 10 10 10 nan
nan 10 9 9 9 10 11 12 12 12 12 11 11 11 12 13 13 14 14 13 11 10 10 11 12 12 12 12 11 11 10 10 11 11 9 6 3 1 5 10 12 13 14 13 12 12 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 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 11 11 11 11 11 11 10 10 10 10 10 9 10 10 nan
nan 11 10 9 9 9 10 10 10 10 9 8 8 10 12 13 13 14 14 14 13 11 11 10 11 11 10 10 10 11 12 12 12 11 9 8 8 11 15 18 20 21 20 19 18 17 16 16 16 15 14 13 12 12 11 11 11 11 11 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 11 10 10 10 10 9 9 nan
nan 10 10 9 9 9 9 9 9 8 6 7 9 10 11 11 11 12 12 13 13 13 12 12 12 11 9 9 10 11 13 13 11 10 9 10 13 17 20 21 22 21 21 21 22 23 24 23 22 19 16 13 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 nan
nan 9 9 9 9 9 9 9 8 6 6 8 10 12 11 10 10 10 11 11 12 13 13 14 14 12 11 11 12 12 12 10 9 9 9 10 12 14 16 15 13 12 11 13 16 19 22 22 21 17 13 12 13 14 14 13 12 12 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 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 12 12 12 12 nan
nan 9 9 10 10 10 10 10 8 7 8 10 12 12 11 10 10 10 10 11 11 12 12 13 13 12 13 13 13 11 10 9 9 9 10 10 11 11 10 9 7 5 4 4 4 6 8 9 8 6 6 10 16 19 16 13 12 12 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 nan
nan 9 10 10 11 11 11 10 9 9 11 12 13 12 11 10 10 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 10 10 9 9 10 9 7 3 1 0 -1 -3 -2 3 10 16 16 12 11 11 12 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 13 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 12 12 12 12 13 13 nan
nan 10 10 10 11 11 10 10 10 10 11 12 13 12 11 11 11 11 11 10 10 9 9 8 8 9 9 9 9 8 8 8 8 9 10 10 11 11 12 13 15 16 17 16 14 11 9 7 5 8 12 16 16 12 11 13 14 15 14 14 14 13 13 13 13 14 15 17 17 16 16 16 15 15 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 nan
nan 11 10 10 10 10 10 9 10 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 10 11 11 12 13 15 16 17 19 21 21 21 21 22 24 27 28 24 21 21 22 22 21 19 18 16 15 14 14 16 19 22 24 22 19 16 15 15 14 14 13 13 13 12 12 12 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 11 11 11 11 nan
nan 11 11 10 10 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 11 11 12 13 15 18 21 22 24 26 28 30 29 27 27 28 28 28 28 27 24 21 19 19 19 20 23 26 25 21 18 15 14 14 14 14 13 13 13 12 12 12 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 11 nan
nan 10 10 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 11 12 13 15 16 17 18 19 19 19 20 21 22 24 25 27 27 26 25 25 26 25 24 23 21 18 16 15 16 16 15 15 14 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 9 9 9 9 8 8 7 7 7 6 6 6 6 7 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 11 12 12 12 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 12 13 14 15 17 18 19 20 23 26 27 27 25 22 19 16 17 19 21 22 20 18 14 12 11 10 9 8 8 8 7 7 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 nan
nan 8 8 8 8 8 7 6 5 5 4 4 4 6 8 10 10 10 9 10 10 10 10 9 9 9 9 9 9 9 10 10 11 12 13 13 12 12 12 11 11 10 10 10 10 9 9 8 8 9 9 10 10 10 11 11 11 11 12 14 17 19 20 21 22 22 21 20 19 19 18 17 15 12 10 8 7 7 6 6 6 6 6 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 13 nan
nan 8 8 7 6 5 5 4 5 4 4 4 5 8 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 11 12 13 14 14 14 12 10 10 9 9 9 9 8 9 9 10 10 10 10 10 10 11 11 10 10 10 11 12 13 14 15 16 18 18 15 9 5 2 1 2 2 3 4 5 5 5 6 6 6 7 7 8 8 9 9 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 11 12 12 13 14 nan
nan 8 7 4 3 2 2 4 5 6 7 8 11 13 12 10 8 7 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 14 13 11 10 9 9 9 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 12 12 10 5 -1 -5 -6 -5 -3 -1 1 4 5 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 nan
nan 7 5 4 3 3 4 5 7 9 11 13 14 14 12 9 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 11 12 11 10 10 10 9 9 8 8 8 9 10 10 10 11 11 11 11 11 10 11 11 11 11 11 11 10 10 9 8 3 -1 -3 -3 -1 1 2 3 5 6 6 7 7 8 8 8 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 nan
nan 6 6 6 8 8 9 9 10 12 13 13 13 11 9 8 8 8 8 8 9 9 9 10 10 10 9 8 7 7 8 8 8 8 9 10 10 10 10 11 11 10 9 8 8 9 10 10 10 11 12 12 11 11 11 11 10 10 11 11 10 9 8 7 5 1 -3 -5 -4 0 4 6 6 7 7 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 nan
nan 7 8 9 10 10 10 10 11 11 11 9 8 8 9 9 9 9 9 9 8 8 8 8 8 7 6 5 5 6 6 6 7 7 8 9 9 9 9 9 9 9 9 9 9 10 10 10 11 12 12 12 11 11 11 11 10 10 10 10 10 9 7 5 0 -5 -7 -5 -1 3 6 8 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 nan
nan 6 7 7 6 5 6 7 8 8 6 5 6 7 8 8 9 9 9 9 8 8 8 8 7 6 6 7 8 8 8 7 7 7 8 8 7 8 8 7 8 9 10 10 11 11 10 10 11 12 11 11 11 10 10 10 10 11 11 10 10 10 9 5 1 -2 -1 2 6 8 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 4 4 4 4 5 6 8 8 7 5 5 6 6 6 6 7 7 8 8 10 11 11 10 8 8 10 11 12 11 11 9 8 7 7 6 6 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 10 11 11 10 10 9 10 11 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 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 10 nan
nan 5 5 6 8 10 11 12 11 8 7 7 7 7 7 6 6 6 7 10 12 13 12 9 8 8 9 10 11 10 10 9 7 5 4 4 6 7 7 8 9 10 11 11 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 13 16 19 17 15 12 11 10 10 10 10 10 10 9 9 9 9 9 9 9 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 nan
nan 8 9 10 12 13 13 12 10 9 8 8 8 9 9 8 7 8 10 12 12 11 8 7 7 7 7 7 8 7 7 5 3 2 3 5 7 8 9 10 11 11 12 12 12 11 11 11 11 11 12 11 11 11 10 10 10 10 10 10 10 10 11 14 16 14 11 9 7 8 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 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 nan
nan 10 10 11 11 10 9 7 6 7 7 8 8 9 9 9 9 9 10 10 8 6 6 7 9 9 9 8 7 6 4 3 3 5 7 9 10 11 11 12 13 13 13 13 12 11 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 12 12 10 6 4 3 4 8 9 10 10 10 10 10 10 10 10 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 12 12 12 12 12 12 12 11 nan
nan 10 10 9 8 7 5 5 5 6 7 8 8 9 9 9 9 10 10 9 7 7 8 11 12 12 11 10 8 6 6 7 9 11 13 13 12 13 14 14 14 14 13 12 11 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 10 7 5 5 5 8 10 10 11 11 11 11 11 11 10 10 11 11 10 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 9 9 8 7 6 5 6 6 7 7 7 8 8 9 10 11 12 13 13 13 14 14 13 13 12 11 10 10 12 14 16 17 17 16 15 15 15 15 14 14 13 11 11 10 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 10 9 9 10 11 12 13 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 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 9 8 7 5 4 3 3 4 5 5 6 8 9 10 12 14 16 18 19 18 17 15 14 12 12 13 13 15 17 18 18 18 17 17 16 15 14 14 14 13 12 11 10 9 9 9 9 9 9 10 9 10 10 9 9 10 9 10 10 10 10 10 11 13 14 15 15 13 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 12 12 12 12 12 12 12 12 12 12 12 nan
nan 7 5 2 -1 -3 -5 -5 -4 -3 -2 0 2 5 8 11 14 16 18 18 18 18 17 15 14 13 14 15 15 16 16 15 14 14 13 13 13 13 12 12 12 12 11 10 10 10 10 10 9 9 10 9 10 10 9 9 10 10 10 10 10 10 10 10 11 12 13 15 15 13 13 12 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 12 12 12 12 12 12 12 12 12 nan
nan -2 -4 -6 -7 -8 -8 -7 -5 -5 -6 -5 -4 -0 4 8 11 14 14 14 14 14 14 13 13 13 14 14 14 13 12 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 12 14 15 15 14 13 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 12 12 12 12 12 12 12 12 12 12 12 13 13 nan
nan -5 -6 -5 -3 -1 1 2 2 1 0 -1 -1 -0 1 2 3 5 8 10 11 11 10 10 10 11 11 12 12 12 11 10 9 8 9 9 10 10 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 10 10 10 12 14 15 16 15 14 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 14 16 20 22 nan
nan 2 3 5 7 9 11 11 11 11 11 10 9 7 5 2 2 4 8 11 11 10 9 9 9 9 10 11 11 11 10 9 8 8 9 9 10 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 16 16 14 14 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 15 19 24 30 34 nan
nan 11 12 13 14 14 15 15 16 17 18 18 17 15 12 10 11 13 14 13 10 9 9 8 9 10 11 12 12 11 10 9 8 8 9 9 9 9 9 9 10 10 11 12 12 12 11 11 11 10 10 10 10 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 14 16 17 17 17 17 18 17 16 14 14 13 14 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 14 18 23 28 30 32 32 nan
nan 17 17 17 17 18 19 21 23 24 24 21 19 17 16 16 17 16 14 11 9 8 8 8 9 11 12 12 12 11 10 9 9 9 9 9 8 8 9 10 11 12 13 13 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 13 13 13 12 12 12 13 15 16 20 23 25 25 23 21 19 18 17 17 15 14 14 14 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 13 16 22 28 29 28 24 21 nan
nan 22 22 22 24 25 27 29 30 29 26 22 19 17 16 16 16 16 14 11 10 9 9 10 12 12 12 12 11 10 10 10 10 10 9 8 8 8 10 11 12 13 14 13 12 11 11 11 10 10 10 10 10 10 9 9 10 11 12 13 13 13 13 13 13 12 12 12 12 12 15 19 24 26 26 25 25 25 26 24 21 17 15 14 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 13 16 20 23 23 20 17 14 nan
nan 22 24 25 28 30 31 30 28 26 22 19 17 16 16 17 19 21 20 16 14 12 12 14 15 14 13 12 11 11 10 10 10 10 9 8 8 9 11 11 12 14 13 11 11 11 11 11 11 10 10 10 9 9 9 10 11 12 13 13 13 12 12 12 12 11 11 10 10 10 12 15 17 18 19 21 23 26 27 25 22 18 15 13 12 12 13 13 13 14 14 14 14 14 14 14 14 14 13 13 13 13 12 12 12 14 15 16 16 13 13 12 nan
nan 18 20 22 23 24 22 21 20 18 16 17 17 19 21 24 26 26 23 20 17 15 15 15 14 14 13 12 11 10 10 10 10 9 9 8 9 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 9 9 9 10 11 12 12 12 11 11 11 10 10 9 9 9 9 10 11 11 11 11 13 15 17 19 20 20 19 17 16 14 13 15 16 17 18 18 17 16 16 15 15 15 14 14 14 13 13 13 13 12 12 12 13 13 13 12 12 12 nan
nan 15 16 17 17 15 14 14 14 14 14 16 18 21 25 27 27 24 20 18 16 15 14 13 12 12 12 11 11 10 10 10 9 9 9 9 10 10 9 7 7 6 6 8 9 10 11 12 12 12 11 10 9 9 10 10 11 11 11 10 9 9 8 8 7 8 8 9 10 10 11 10 10 10 11 11 12 13 14 15 15 17 18 19 22 24 26 26 25 23 20 18 16 16 15 15 14 14 14 14 13 13 13 13 13 11 10 10 10 11 12 11 nan
nan 15 16 16 15 14 14 13 13 13 14 15 17 20 22 22 21 18 15 14 14 14 13 12 10 10 10 10 10 10 10 10 10 10 9 9 10 9 7 7 6 5 6 7 9 11 12 13 13 12 11 10 9 9 10 10 10 10 10 9 9 8 7 6 7 8 9 10 11 11 11 11 10 10 10 10 11 11 12 12 14 18 22 26 31 32 31 30 27 24 21 19 19 19 18 16 15 15 14 14 14 14 13 13 11 9 7 5 6 9 10 11 nan
nan 17 17 16 15 14 14 14 14 14 15 15 16 17 18 17 16 14 13 13 12 12 11 10 9 9 8 8 8 9 9 10 10 10 10 10 10 9 8 7 7 7 8 8 10 12 13 14 12 11 10 9 9 9 10 10 10 10 10 10 9 8 7 7 8 9 10 11 10 10 10 11 11 11 11 11 11 11 11 11 13 16 21 25 26 26 26 24 22 22 24 26 26 25 24 21 18 17 16 14 14 14 14 13 11 9 5 3 2 5 8 10 nan
nan 15 15 14 13 13 13 13 14 14 14 15 15 16 15 15 14 13 12 12 11 11 11 10 10 9 8 7 8 8 8 9 9 10 11 11 11 10 10 8 8 7 8 9 11 13 13 12 10 9 8 8 8 8 9 10 10 11 11 11 10 9 8 8 9 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 12 13 15 16 16 16 16 16 18 22 26 29 29 29 28 26 24 22 19 17 16 14 14 13 12 11 7 3 1 2 5 8 nan
nan 12 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 10 9 8 8 8 9 9 9 10 10 10 9 9 9 8 7 6 6 7 8 10 10 9 8 7 7 7 7 8 8 9 10 11 11 11 10 9 9 9 9 9 9 9 9 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 11 12 14 17 19 21 23 24 25 27 27 26 24 21 18 15 13 12 12 11 9 5 2 -0 0 3 nan
nan 11 10 10 10 10 11 11 10 10 10 10 10 11 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 10 9 9 9 8 7 6 6 6 6 6 5 4 3 4 5 5 6 6 7 7 7 7 7 8 8 9 10 10 10 10 9 9 9 9 8 8 8 8 9 10 10 11 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 11 11 12 12 13 14 16 18 22 24 26 25 22 17 13 12 11 11 11 11 8 4 -0 -3 -5 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 8 7 7 7 8 9 9 9 8 8 7 7 5 4 3 3 3 3 3 2 2 3 4 4 5 6 7 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 12 13 15 17 18 18 16 14 13 14 14 14 14 14 13 9 5 -1 -5 nan
nan 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 6 6 6 7 7 7 6 6 7 7 8 8 8 7 5 3 1 1 0 1 2 4 5 7 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 14 17 21 23 24 24 23 22 19 16 13 9 4 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 7 6 6 6 7 8 8 7 7 7 8 9 10 11 11 10 8 6 3 3 3 3 5 6 8 10 11 11 10 9 9 9 10 10 10 9 9 8 9 9 9 9 9 9 9 10 9 9 8 7 7 8 8 9 9 9 10 10 10 10 10 10 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 12 14 19 25 29 30 31 32 31 30 28 26 24 21 17 nan
nan 10 9 10 10 10 10 10 10 10 10 10 10 9 9 9 8 7 7 7 7 7 8 9 10 11 11 11 11 11 12 12 13 13 13 12 12 10 9 9 9 9 9 10 11 11 10 9 8 8 9 10 10 10 10 9 8 8 9 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 16 19 22 23 24 25 27 29 31 33 33 33 31 28 nan
nan 9 9 9 10 10 10 10 10 10 10 9 9 8 7 7 6 6 7 9 10 11 12 13 14 14 14 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 14 13 12 10 9 8 8 9 10 10 10 10 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 13 13 14 16 17 20 24 28 30 32 33 33 nan
nan 9 9 9 9 10 10 10 10 10 9 8 8 7 7 7 8 10 12 14 15 15 16 16 16 15 15 16 16 16 15 15 14 15 15 16 16 16 15 15 16 16 16 16 15 14 12 11 9 7 8 8 8 9 10 10 10 11 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 10 10 10 11 12 12 14 17 19 21 24 27 nan
nan 9 9 10 10 10 10 10 10 9 8 8 8 8 9 11 13 14 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 16 17 16 15 14 14 15 16 16 16 16 15 14 12 9 6 5 4 5 7 9 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 10 10 10 9 10 11 13 15 18 nan
nan 9 10 10 10 10 10 10 10 9 8 9 10 12 13 15 15 15 15 14 13 13 13 14 14 15 15 15 16 16 17 17 17 17 17 17 16 15 15 14 14 14 15 15 15 15 15 14 12 9 7 5 5 7 8 10 11 11 11 11 10 9 9 9 9 9 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 10 11 12 13 nan
nan 9 9 10 10 10 10 10 9 9 10 11 13 14 15 14 13 13 12 11 11 11 11 11 11 12 13 14 15 15 15 15 15 15 15 15 16 16 16 15 15 14 15 15 15 16 16 15 15 14 12 10 9 8 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 9 10 9 9 10 10 10 10 10 10 11 12 13 13 14 14 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 13 nan
nan 10 10 10 10 10 9 9 9 10 11 13 14 14 13 12 11 11 11 10 10 10 10 9 9 10 11 12 13 13 12 12 12 12 13 13 14 14 15 15 15 15 15 16 16 16 16 16 15 15 14 14 12 10 8 7 7 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 13 13 13 13 nan
nan 10 10 10 10 10 9 10 10 11 12 13 13 12 11 11 11 11 11 11 10 10 10 9 9 9 10 10 11 11 11 10 10 10 11 11 11 11 12 13 14 15 16 16 16 16 16 15 15 14 14 13 13 12 11 10 10 9 9 9 10 11 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 10 10 9 10 10 11 11 11 12 11 11 12 12 12 12 11 11 11 10 10 10 11 11 12 12 13 13 13 13 12 nan
nan 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 10 10 11 12 13 15 16 17 17 17 17 16 15 14 13 13 13 13 13 13 12 10 10 10 10 11 11 11 10 11 10 10 10 9 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 11 11 11 11 12 12 12 12 11 11 12 11 11 11 11 10 10 10 11 11 12 12 13 13 13 12 12 nan
nan 10 10 10 10 9 10 10 10 11 10 10 9 9 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 10 9 9 10 10 10 11 13 15 16 17 17 17 17 17 16 15 15 14 14 14 14 14 12 11 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 11 11 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 nan
nan 10 10 9 9 10 10 10 11 10 10 10 10 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 11 12 13 14 14 15 16 16 16 16 16 15 14 13 12 12 11 11 11 11 10 9 8 7 7 8 9 10 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 13 12 12 12 11 11 11 11 10 10 9 10 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 12 12 12 nan
nan 10 9 10 10 10 11 11 11 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 11 11 11 11 12 13 14 15 15 15 14 13 12 11 9 9 10 10 11 10 9 8 7 7 8 9 9 10 10 9 9 9 9 9 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 9 9 10 11 12 12 12 11 10 10 10 10 11 11 11 12 12 12 13 13 12 12 nan
nan 10 10 10 10 11 11 11 11 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 9 9 10 11 12 12 13 13 13 13 13 13 12 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 10 11 12 13 13 12 11 10 10 10 10 11 11 12 12 13 13 14 13 13 12 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 11 11 11 11 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 14 15 15 13 12 11 11 11 11 12 13 13 13 11 10 9 10 10 10 10 10 10 10 11 11 12 12 12 11 11 10 10 10 10 10 10 10 9 9 9 11 12 13 13 12 11 11 10 10 10 10 10 11 12 13 14 14 14 13 12 12 nan
nan 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 10 10 10 10 10 10 10 10 11 12 14 15 15 14 14 14 14 14 15 14 15 16 16 14 12 10 11 10 11 11 11 11 11 12 12 12 12 12 11 10 10 10 10 10 10 9 9 9 9 10 11 12 11 11 11 11 11 11 10 10 10 11 12 12 14 15 15 14 13 12 11 nan
nan 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 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 11 11 12 12 13 13 14 15 16 16 16 17 18 18 17 14 13 12 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 9 10 10 10 11 11 11 11 10 10 11 11 11 11 10 10 10 11 12 13 14 15 15 14 13 12 11 nan
nan 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 13 14 15 15 16 17 18 18 17 17 15 12 11 10 10 11 11 11 11 12 12 12 12 11 10 10 10 9 9 10 10 12 12 12 12 11 11 12 12 12 12 12 11 11 11 11 11 13 14 14 14 13 12 11 11 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
3 3 3 2 1 1 1 1 2 3 4 3 3 4 5 6 7 7 9 10 11 10 9 7 9 11 12 13 15 16 16 15 12 9 9 19 26 27 28 30 32 33 35 36 38 40 41 42 45 47 49 48 49 51 52 53 55 57 58 59 61 65 66 65 65 64 64 64 65 67 70 71 73 75 76 77 77 80 86 91 95 99 106 112 118 123 127 126 131 137 142 147 151 157 163 169 174 181 187 193 200 205 207 208 209 210 211 210 212 215 218 223 231
3 2 1 1 1 2 2 3 4 4 4 3 4 5 6 6 7 7 8 8 8 9 10 12 12 13 15 17 20 20 18 15 13 9 7 11 19 25 25 27 28 30 32 34 36 38 39 41 43 46 47 48 49 50 51 53 54 55 56 57 58 60 62 63 64 64 62 62 61 61 63 64 65 66 67 69 70 74 80 84 90 91 98 106 112 119 123 126 131 135 137 141 144 148 151 155 155 163 169 177 186 190 191 192 192 191 193 195 196 198 202 210 220
3 2 1 0 1 2 3 4 5 5 4 4 4 5 5 5 7 8 9 9 9 10 12 13 15 17 18 19 20 20 17 14 11 9 7 7 12 22 24 25 26 27 29 32 34 36 38 39 42 45 46 46 45 46 47 48 50 51 52 53 54 55 57 59 61 62 61 61 60 59 62 63 62 62 63 64 66 69 73 77 82 87 93 97 100 105 110 117 124 130 132 135 140 145 150 149 148 151 155 156 164 169 171 172 174 174 176 178 179 179 184 192 200
2 2 2 2 3 4 5 5 5 5 4 4 5 5 4 7 9 10 10 11 12 13 13 15 17 19 18 17 17 17 16 12 10 8 7 6 6 17 22 23 24 26 28 31 33 35 37 39 41 43 43 41 39 39 41 42 44 46 46 47 47 47 48 51 54 57 59 60 62 61 63 64 65 64 65 66 67 67 69 71 73 77 80 83 87 92 97 102 108 114 119 124 128 132 136 137 138 140 145 152 155 157 158 159 160 161 162 162 164 168 175 179 183
2 2 2 4 5 5 5 5 4 3 3 4 5 6 8 10 11 12 14 15 16 16 16 15 16 15 15 15 14 14 14 12 10 8 8 8 6 11 17 21 22 25 28 31 33 35 37 38 39 39 38 35 34 35 36 36 37 39 40 39 38 38 39 43 47 51 56 58 61 63 66 68 70 71 73 75 75 72 71 71 71 70 69 71 75 78 81 88 92 97 101 104 106 109 115 118 120 122 126 132 138 144 149 151 151 151 149 148 153 159 165 169 172
3 4 6 7 6 6 5 4 3 3 3 4 7 10 11 12 14 17 19 20 19 17 14 12 11 12 14 14 14 11 13 12 10 8 8 8 7 8 12 20 22 25 29 32 33 34 35 36 36 35 33 30 29 29 31 31 31 32 32 32 34 35 37 40 44 48 51 53 56 58 61 65 68 71 73 76 78 76 75 74 72 69 68 68 68 67 68 73 76 80 82 82 86 90 94 98 100 103 105 107 112 122 128 135 140 144 146 146 147 151 156 159 161
4 5 5 6 6 5 4 3 3 4 5 7 12 14 15 18 21 23 22 21 18 14 11 11 11 13 13 13 12 10 11 11 10 8 8 8 7 8 14 20 22 26 29 32 31 31 31 30 30 29 27 26 26 26 27 27 27 26 26 27 30 32 35 38 41 45 48 49 50 50 51 55 59 62 66 72 71 72 73 74 73 70 70 69 67 63 61 60 61 63 65 65 66 68 73 79 81 84 86 89 91 98 105 112 119 124 131 135 137 141 146 149 150
4 3 4 5 4 3 3 3 4 6 9 11 14 17 20 23 25 25 22 18 13 10 9 11 12 13 12 10 10 10 10 9 8 7 8 8 7 9 17 20 22 25 28 29 29 28 27 26 25 23 23 23 23 24 24 23 23 22 22 23 25 28 31 34 37 39 41 43 45 46 47 49 50 52 54 58 61 63 65 68 68 68 67 67 66 62 59 56 54 53 54 55 54 53 58 62 64 67 70 71 74 78 82 88 96 102 108 113 117 122 129 136 140
4 3 2 2 3 2 4 6 8 10 13 17 22 24 26 27 25 21 16 12 9 9 10 10 11 11 10 10 11 10 9 8 7 8 7 9 14 16 16 18 20 23 25 25 25 25 24 23 22 22 22 22 22 22 21 21 21 20 20 21 22 24 26 28 30 32 34 36 38 40 42 44 45 45 46 48 50 52 55 56 58 59 60 62 61 59 57 54 52 49 50 51 53 48 52 53 53 52 54 56 59 61 63 67 72 76 80 84 90 97 105 114 122
5 4 3 3 4 4 7 10 12 14 18 23 26 28 29 27 23 17 13 11 9 9 8 8 8 10 11 10 10 10 8 7 6 6 5 5 6 8 11 14 17 16 16 18 20 22 21 20 20 21 21 21 20 20 19 19 19 19 18 19 20 21 21 22 24 25 26 27 29 30 32 34 34 36 37 38 39 39 42 44 44 44 46 48 49 50 50 48 49 48 48 48 51 50 50 49 48 48 48 49 51 50 50 52 54 55 58 61 66 70 76 87 97
8 6 5 6 7 8 11 14 17 20 24 26 27 28 26 22 18 16 13 11 8 6 6 6 8 9 10 9 9 7 5 4 3 3 4 5 5 5 6 7 9 8 8 8 8 11 14 14 15 17 19 18 17 17 18 17 16 16 16 16 17 17 18 19 20 20 19 19 20 20 20 21 21 21 23 25 25 26 28 29 30 30 32 34 35 37 39 40 42 43 44 45 46 47 47 46 46 48 50 50 49 46 45 45 46 49 53 54 56 59 63 67 74
10 9 8 9 11 13 16 20 22 25 28 28 26 22 18 16 14 13 10 8 6 6 6 8 9 8 7 5 4 3 2 2 2 3 4 5 6 6 6 6 8 12 13 11 10 8 7 7 7 7 12 15 16 16 17 15 14 14 15 15 15 15 16 16 16 16 16 16 15 13 13 14 14 13 12 14 15 15 15 16 16 18 19 21 24 26 29 32 34 36 37 38 39 41 42 42 42 43 44 44 46 45 44 45 47 50 52 55 57 59 59 60 62
11 12 14 16 16 18 21 23 24 27 28 26 22 16 13 11 10 8 6 5 6 7 8 8 8 6 4 2 1 0 0 1 2 4 4 5 6 7 6 7 8 15 20 22 18 17 14 12 9 8 13 17 17 13 12 12 12 12 12 12 11 12 12 12 11 11 12 12 11 11 11 11 10 10 9 9 9 9 8 9 10 10 12 15 17 20 22 25 27 29 32 34 35 36 37 37 38 40 41 42 42 42 43 45 48 50 52 55 57 59 59 59 61
18 19 20 22 23 22 22 24 25 27 27 22 15 11 9 7 6 4 4 4 6 8 10 9 7 5 2 0 0 1 1 1 3 4 5 5 6 6 7 7 6 8 12 14 19 21 20 19 16 16 16 15 14 8 9 9 9 9 7 7 6 7 7 7 7 8 8 8 8 8 8 7 6 6 5 5 6 6 6 7 7 8 9 11 13 16 18 20 22 24 27 30 31 31 32 34 35 36 38 38 38 38 40 41 42 44 47 50 53 55 57 59 61
24 26 28 29 29 27 25 26 25 24 20 14 10 9 8 6 4 4 5 5 6 7 9 8 7 5 3 1 0 1 1 2 3 4 5 5 5 6 6 5 4 4 5 7 12 15 16 15 16 14 12 11 10 9 8 6 5 4 3 3 4 3 3 4 4 5 5 6 6 5 4 4 2 3 2 3 3 4 4 4 5 7 8 9 11 12 14 16 18 21 23 25 27 28 30 31 33 34 35 36 36 37 37 37 37 39 43 46 49 53 55 57 60
32 34 35 35 34 32 29 28 24 18 11 9 9 9 8 7 6 7 7 7 6 7 7 6 6 5 4 2 2 2 2 2 2 3 4 4 5 6 5 5 5 5 6 5 5 5 7 7 7 7 7 6 4 3 3 2 2 1 0 1 2 2 1 2 2 2 4 3 3 2 2 1 1 1 1 1 2 3 4 4 5 6 7 8 9 10 12 14 16 18 20 22 24 26 28 30 33 34 36 37 38 38 37 37 38 39 40 42 45 49 53 55 58
41 41 40 38 35 32 29 26 21 14 9 10 10 9 8 9 11 11 10 9 7 5 5 6 6 5 5 4 3 2 2 2 1 2 2 3 4 5 6 6 7 7 6 5 3 2 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 0 0 0 0 0 1 1 1 1 1 2 2 3 4 5 7 8 9 9 11 13 15 18 20 21 23 25 26 30 33 36 38 39 39 39 39 40 39 39 40 42 45 50 53 55 59
47 45 43 39 34 29 25 20 15 11 11 12 11 10 9 10 11 11 10 8 6 5 5 6 6 6 5 4 3 2 2 2 2 3 3 2 2 4 6 7 9 8 6 4 3 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 1 2 3 4 5 6 8 9 10 11 13 15 18 19 20 21 22 25 29 33 37 40 39 39 38 38 39 39 40 41 44 47 51 55 60 65
53 49 44 40 34 28 23 18 14 12 12 13 12 10 9 8 7 6 4 4 4 5 6 6 6 7 6 5 3 3 3 5 6 6 4 2 2 3 4 6 6 6 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 0 0 0 0 0 0 0 1 2 3 4 5 7 8 10 11 12 14 15 18 19 20 20 21 24 27 30 34 37 37 38 37 37 38 38 39 41 45 50 57 63 68 75
57 52 45 39 33 28 23 17 14 13 12 12 12 9 8 6 5 4 4 4 4 5 6 7 8 8 7 6 6 5 6 7 8 7 4 3 2 2 2 3 3 3 3 3 2 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 4 5 6 7 8 9 11 12 14 15 17 18 19 19 20 21 22 25 29 33 35 36 36 36 37 37 37 39 42 47 55 66 74 81
57 50 43 35 29 25 22 19 16 14 12 12 10 8 6 4 3 4 6 5 5 6 7 8 9 9 9 9 9 9 10 11 10 8 6 4 2 1 1 1 2 2 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 1 1 2 2 3 4 4 5 6 7 7 8 10 11 12 13 14 15 15 16 17 18 19 19 21 24 29 33 33 34 34 34 35 35 36 38 42 50 62 72 81
53 46 38 32 28 25 22 17 14 12 11 10 8 6 3 3 4 5 5 6 7 8 8 9 9 9 10 11 12 13 13 14 14 11 9 7 5 2 0 0 0 1 3 3 2 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 1 2 3 4 4 4 4 5 6 7 8 8 9 10 10 12 12 12 13 14 16 17 18 18 19 23 27 30 31 31 31 31 31 31 33 34 37 43 53 63 73
50 41 35 31 28 24 19 15 12 9 7 6 5 4 3 4 5 5 6 7 8 8 9 9 10 11 12 13 15 16 16 18 18 16 13 10 6 3 1 1 0 1 2 3 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 4 4 4 4 5 5 6 7 8 9 9 10 11 12 13 13 14 15 17 17 17 18 21 23 26 28 30 30 30 30 29 29 31 34 37 43 52 62
50 42 36 31 27 23 19 13 9 7 5 5 5 5 5 6 5 6 7 7 8 8 9 9 10 12 14 16 18 20 20 21 20 18 14 11 8 4 1 0 0 1 3 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 1 2 3 4 4 4 4 4 4 5 5 6 6 7 8 9 9 10 11 13 14 14 15 15 15 15 17 19 21 23 26 27 28 28 28 28 27 29 32 34 37 44 52
47 40 34 29 25 22 15 11 8 6 5 5 6 6 7 7 7 8 8 9 9 9 9 9 11 14 16 18 19 22 22 21 20 18 14 13 9 5 1 0 0 1 3 5 5 4 2 1 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 4 4 4 3 3 4 5 5 6 6 6 7 9 10 10 10 12 14 15 15 15 14 14 15 17 19 20 22 23 24 26 27 27 27 27 29 31 33 37 43
41 36 31 27 23 19 14 10 7 6 5 5 6 7 8 9 9 9 10 10 11 11 10 12 14 15 17 19 19 21 22 22 20 18 15 12 8 4 1 0 0 1 3 5 6 5 3 1 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 3 3 3 3 3 4 4 5 5 5 6 8 9 10 10 11 12 13 14 15 14 13 12 13 15 17 17 19 21 23 24 26 27 28 28 27 29 31 33 37
40 34 29 25 21 16 13 10 7 6 6 6 6 7 8 9 9 10 11 13 14 15 15 15 17 17 17 19 19 19 20 19 17 15 13 10 6 2 1 0 0 2 4 6 6 6 4 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 2 3 3 3 4 4 5 5 6 6 8 9 10 11 12 12 12 12 12 12 12 11 12 13 14 15 16 19 20 22 24 25 26 26 27 28 29 31 34
36 30 25 18 14 12 11 10 7 6 5 4 3 6 7 9 10 11 14 16 17 18 18 18 19 20 19 20 20 20 19 19 16 13 11 8 4 2 0 0 1 2 4 6 6 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 1 1 1 2 3 3 3 3 4 5 5 5 5 6 8 9 10 11 11 11 10 10 11 12 11 11 11 11 12 12 14 16 17 19 21 23 24 25 26 27 30 31 34
29 24 19 12 9 8 8 9 7 5 4 4 2 5 7 9 11 14 17 18 19 19 20 21 22 23 22 23 23 22 19 17 14 11 8 6 4 2 1 1 2 4 5 6 6 6 5 4 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 2 3 3 3 4 4 5 5 6 7 8 9 10 10 10 10 9 9 10 11 11 10 10 10 11 11 12 13 14 16 18 20 22 25 26 27 29 31 34
22 18 13 9 8 7 5 6 5 5 5 4 4 5 8 10 13 14 17 19 20 20 22 24 24 24 23 23 23 21 18 13 10 7 5 4 3 2 1 1 2 2 3 3 4 5 5 4 2 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 2 3 3 4 4 4 6 7 9 9 10 9 8 8 8 8 8 9 9 8 8 8 9 10 10 12 13 15 16 18 20 24 26 27 28 32 35
18 15 11 8 6 5 5 5 6 6 6 4 6 7 9 12 13 14 15 16 18 20 21 21 20 20 20 19 18 16 12 9 7 5 3 3 2 2 1 0 1 1 1 1 2 3 4 4 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 1 1 2 3 3 4 4 6 7 8 9 9 8 7 7 7 7 7 6 6 6 6 7 7 8 9 10 11 13 14 16 18 20 24 26 30 33 34
14 12 9 7 6 5 6 7 8 9 8 8 9 10 11 13 14 14 15 17 15 15 15 14 12 13 13 13 12 11 9 8 7 6 4 4 3 2 0 0 0 0 0 0 1 3 3 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 1 1 2 3 3 4 5 6 7 7 8 8 7 6 5 6 6 6 5 4 4 5 6 6 6 6 7 8 9 10 12 14 17 18 21 25 29 32 34
12 9 7 6 7 8 11 13 13 13 13 13 14 16 16 16 16 17 18 18 15 13 10 9 8 9 9 9 8 9 9 8 8 8 6 4 2 0 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 0 0 0 0 1 2 2 3 4 5 6 6 7 7 6 5 5 5 5 5 4 4 4 4 4 5 5 5 6 7 8 9 10 11 13 15 17 20 24 28 30 34
12 10 9 10 14 20 27 31 28 26 22 22 26 27 26 24 21 22 21 20 16 12 9 8 8 8 8 8 7 8 9 9 9 7 5 3 2 0 0 0 0 0 0 0 0 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 0 0 0 1 1 2 2 4 4 5 5 6 6 5 4 4 4 4 4 3 3 3 3 3 4 4 3 4 5 5 6 7 9 10 11 13 16 19 24 28 32 35
20 18 19 24 28 32 35 38 40 40 39 40 44 40 38 32 23 20 19 16 12 9 7 7 7 7 7 7 7 7 8 9 8 6 4 3 2 1 0 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 0 0 0 0 0 1 1 2 3 4 5 6 6 5 4 4 3 3 2 2 3 2 2 3 3 3 3 3 3 3 4 5 5 6 7 8 10 12 15 19 23 28 33 36
32 32 34 34 34 34 34 35 35 34 33 31 29 30 32 31 27 23 16 9 7 6 7 7 7 7 6 6 6 6 6 7 6 5 4 3 1 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 1 2 2 3 4 4 4 3 3 2 2 2 1 1 2 1 2 2 2 2 3 3 3 3 4 4 4 4 5 7 9 12 15 19 25 31 34 30
30 30 30 31 30 29 28 27 25 22 19 17 16 14 13 15 16 13 7 3 3 5 6 7 6 5 4 4 4 5 5 5 5 5 4 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 2 2 2 2 2 3 4 4 4 4 6 8 11 15 19 23 22 16 14
26 26 25 24 22 19 17 14 11 9 8 7 6 5 4 4 5 5 4 2 3 5 6 5 4 4 4 4 5 5 5 5 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 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 0 0 1 1 1 1 1 1 1 1 1 1 2 1 2 2 2 3 4 3 4 6 8 10 12 14 16 14 10 9
21 19 16 14 11 9 7 5 4 3 3 2 2 1 1 0 1 1 2 2 3 4 4 4 4 4 4 4 5 5 5 5 4 4 3 3 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 2 2 2 2 2 3 3 5 7 9 8 7 7 6 7 8
8 8 7 6 5 4 3 1 1 1 0 0 0 0 0 0 0 1 2 2 2 1 2 2 1 1 1 3 3 4 5 5 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 0 0 0 0 0 0 0 1 2 1 1 1 1 1 1 1 2 2 2 2 3 5 6 7 7 4 4 5 6 8
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