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 nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 7 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 8 8 8 9 10 10 9 8 7 6 5 5 5 5 6 7 8 9 10 10 9 9 10 11 11 11 10 9 8 8 9 10 10 10 9 9 9 9 9 10 11 11 11 10 10 9 9 10 10 10 10 11 11 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 12 12 12 12 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 9 9 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 12 11 11 10 10 11 11 nan
nan 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 6 6 7 7 8 9 9 9 7 6 5 5 5 5 5 6 6 7 8 9 10 10 10 11 12 13 12 11 9 8 9 9 10 9 9 9 8 8 8 8 9 10 10 10 10 9 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 11 11 10 10 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 11 11 10 10 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 12 12 12 11 11 11 12 nan
nan 7 7 7 7 7 6 6 6 6 7 7 7 7 6 6 6 7 7 7 7 7 7 6 6 6 6 6 6 6 8 9 9 8 7 6 5 5 4 5 5 5 5 5 6 7 8 9 11 12 13 13 11 10 8 8 9 9 9 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 9 9 9 10 10 11 11 12 12 11 11 11 11 10 11 11 11 11 11 11 11 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 11 11 10 10 10 9 9 10 10 10 11 11 11 11 10 10 10 11 11 12 12 13 13 12 12 12 12 12 11 11 nan
nan 7 7 7 7 6 6 5 5 5 5 5 5 5 6 6 6 6 7 7 8 8 8 7 7 7 6 6 6 7 8 9 9 9 8 7 6 5 5 5 5 5 5 4 3 3 5 8 11 13 14 12 10 8 8 8 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 7 7 8 8 8 8 7 7 7 8 8 8 8 9 9 8 9 9 9 10 10 11 11 10 10 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 11 11 12 12 12 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 12 13 14 14 13 13 12 12 11 11 10 nan
nan 8 7 6 6 5 5 4 2 1 0 -0 -0 1 3 4 5 5 6 7 8 9 9 8 8 8 8 7 7 7 8 8 9 8 8 8 8 7 6 6 7 7 6 4 3 2 5 9 12 14 14 12 9 7 7 7 8 8 8 8 7 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 10 11 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 11 12 12 12 11 10 9 9 9 10 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 10 11 12 12 13 13 13 12 12 11 11 10 10 10 nan
nan 8 6 6 6 5 4 2 1 -1 -3 -4 -5 -3 -1 1 2 3 4 6 7 8 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 8 8 7 8 8 8 7 6 5 7 10 12 14 14 12 10 7 7 7 8 8 9 8 7 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 9 8 8 8 8 8 8 9 10 10 9 9 9 8 7 7 8 8 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 9 6 5 5 5 4 2 1 0 -1 -2 -3 -3 -1 -1 -0 1 2 5 7 8 8 9 9 10 10 9 8 8 7 7 6 6 7 8 9 9 9 9 9 9 10 10 10 10 10 11 12 12 13 12 10 9 8 7 7 8 8 8 8 7 7 7 7 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 8 8 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 9 9 10 10 9 9 9 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 11 11 12 nan
nan 9 6 5 5 4 4 4 4 5 6 6 5 4 4 2 1 -0 1 4 6 7 8 8 9 10 11 11 10 9 8 7 7 6 6 7 8 9 10 10 10 11 12 13 13 13 13 12 11 11 11 11 10 10 9 8 8 8 8 9 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 7 7 7 7 7 8 8 9 10 10 10 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 9 9 10 11 12 12 11 nan
nan 10 6 4 3 3 4 5 8 10 13 14 13 11 9 6 3 1 2 3 5 6 7 7 8 10 11 11 11 10 9 8 8 7 7 7 8 9 10 11 12 12 12 13 14 14 13 12 11 10 10 10 10 10 10 9 9 8 8 8 9 9 8 7 7 6 6 7 8 8 9 8 8 8 8 8 8 8 9 9 9 9 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 10 10 11 11 11 11 12 11 10 10 10 9 9 9 9 8 9 9 9 9 9 9 10 10 9 9 8 8 8 8 7 7 8 8 9 10 11 11 10 10 10 10 10 10 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 nan
nan 10 6 3 1 2 4 8 12 15 17 18 17 14 12 8 5 3 3 4 5 5 5 5 6 8 10 11 11 11 10 9 8 7 7 7 8 9 11 13 13 13 12 12 13 13 13 12 11 10 10 10 10 10 11 10 10 9 8 8 8 8 8 8 7 7 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 11 11 11 10 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 10 11 11 10 10 10 10 10 11 10 10 11 11 12 12 11 11 11 11 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 8 nan
nan 8 4 1 0 2 7 12 17 19 19 18 17 14 12 9 6 5 4 4 4 3 3 3 4 6 8 9 9 10 9 9 8 8 8 8 9 10 12 13 13 13 12 11 11 12 12 12 11 11 11 10 11 11 11 11 10 9 8 7 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 10 10 9 9 9 9 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 10 10 10 10 10 10 10 10 10 10 10 10 12 12 12 12 12 12 11 10 10 10 10 10 10 10 10 10 9 8 8 7 7 8 8 7 7 7 7 8 7 6 6 7 nan
nan 6 2 0 1 5 11 18 20 20 18 17 15 13 11 8 6 5 5 4 3 3 2 2 3 4 6 7 8 8 8 8 7 7 8 8 9 11 12 13 12 11 11 10 10 10 11 11 11 12 11 11 12 11 11 11 10 9 8 7 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 10 10 11 11 10 10 10 9 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 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 11 11 11 11 11 10 10 11 11 10 10 10 9 8 7 6 5 5 6 6 6 6 6 6 6 6 6 6 nan
nan 3 1 2 5 10 17 22 22 19 16 14 12 11 9 7 6 5 5 4 3 3 3 4 4 6 6 7 7 7 7 6 7 7 7 8 9 10 11 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 11 10 9 8 7 7 6 7 7 8 8 7 7 7 7 8 8 9 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 8 9 9 9 9 10 11 11 11 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 10 10 9 9 9 9 10 11 10 10 10 10 9 9 9 9 9 9 9 10 11 12 12 11 11 11 11 11 11 10 10 9 9 8 7 6 5 6 6 6 6 6 6 6 6 6 7 nan
nan 4 5 7 12 16 22 24 21 17 14 12 10 8 7 7 6 6 5 5 5 6 6 7 8 10 10 10 9 7 6 6 6 6 7 7 8 9 9 10 10 9 9 9 9 10 10 10 11 11 12 13 13 12 12 11 9 8 6 5 4 4 5 7 8 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 8 8 8 9 9 10 10 11 11 11 10 10 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 10 11 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 11 11 11 11 10 10 10 9 8 7 7 7 7 8 8 8 8 8 8 8 9 nan
nan 9 10 13 16 19 21 20 16 13 11 10 9 8 8 8 7 7 7 7 8 9 10 10 12 14 15 14 12 10 7 5 5 6 6 7 8 8 9 9 9 9 9 9 9 9 9 10 10 11 12 13 13 13 13 12 11 9 6 3 0 -1 1 4 6 7 8 8 8 8 8 8 9 9 9 9 8 8 8 8 9 9 9 10 9 9 8 8 9 9 9 9 10 10 10 9 9 9 10 10 10 10 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 10 9 9 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 11 11 11 10 10 9 8 8 8 8 9 9 9 9 9 9 10 10 nan
nan 12 14 15 15 15 14 12 10 9 9 10 11 11 11 10 10 9 9 10 10 11 12 12 12 14 16 16 15 12 8 6 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 10 11 12 13 14 14 14 14 12 10 6 2 -3 -5 -2 1 4 7 8 8 8 8 8 9 9 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 11 10 10 9 9 8 8 8 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 9 9 8 8 9 9 9 10 10 11 11 11 11 12 12 12 11 11 11 11 11 10 9 8 8 8 9 9 9 9 9 9 9 9 nan
nan 13 13 12 10 8 6 6 7 9 11 13 15 15 13 12 11 10 10 10 11 11 11 11 11 11 12 13 14 12 8 6 5 6 6 6 7 8 8 9 9 9 9 9 8 8 9 9 10 10 11 13 15 16 17 18 16 13 9 3 -4 -6 -4 -0 3 6 7 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 8 8 9 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 11 10 9 9 9 8 8 9 9 9 9 9 10 9 9 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 8 8 8 9 9 10 11 11 10 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 8 8 8 9 9 9 9 nan
nan 11 10 9 6 4 5 7 10 13 15 17 18 15 12 10 9 9 9 9 9 9 9 9 9 9 10 12 11 9 6 4 4 4 5 6 7 7 8 9 9 9 9 8 8 8 9 9 9 10 12 14 17 20 22 23 21 17 11 4 -3 -4 -3 -0 3 5 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 10 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 8 7 7 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 nan
nan 7 7 7 6 7 9 13 16 18 19 19 18 15 12 9 7 7 7 7 7 7 7 8 8 10 11 14 12 7 3 1 1 3 4 6 7 8 8 9 9 9 9 8 8 8 8 9 9 10 12 15 20 24 27 28 25 18 11 4 -1 -1 -1 1 2 5 7 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 10 9 8 8 8 8 9 9 9 9 10 10 10 10 10 10 11 12 12 12 11 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 nan
nan 5 5 6 9 13 16 19 21 21 21 19 17 15 12 9 7 7 7 7 7 7 7 7 9 11 14 17 14 7 2 -1 -1 1 4 6 7 8 8 9 9 9 9 8 8 8 8 9 9 10 12 15 21 26 28 28 24 16 8 4 1 1 1 2 4 6 8 10 10 11 11 11 10 10 10 10 10 10 10 11 10 9 9 9 9 9 9 9 9 9 10 10 10 11 11 12 12 12 11 11 11 10 10 9 8 8 8 8 8 9 9 9 9 10 10 10 10 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 9 9 10 10 10 10 9 8 8 8 8 8 8 8 8 8 9 10 11 11 12 11 11 11 10 10 10 10 9 10 10 10 10 9 8 8 8 8 9 9 9 nan
nan 5 5 8 12 16 20 21 22 22 20 18 15 12 10 9 8 7 7 7 7 7 7 8 9 11 15 18 16 9 3 -0 -1 1 4 6 7 8 8 9 9 9 9 8 8 8 8 9 9 10 12 14 19 23 25 23 18 11 5 3 2 2 3 3 5 7 9 9 10 11 11 11 11 10 10 10 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 9 8 8 8 9 9 9 9 9 9 10 10 10 10 9 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 9 9 10 10 9 9 8 9 9 9 8 8 8 8 8 9 10 11 12 12 12 11 11 10 10 9 9 9 10 10 11 10 8 7 7 7 9 9 9 nan
nan 7 8 11 14 17 18 19 20 20 19 16 13 11 9 8 8 7 7 7 7 7 7 7 8 10 14 17 17 12 6 2 1 2 4 6 7 8 8 9 9 9 9 8 8 8 8 9 10 10 11 13 16 18 19 16 12 7 4 3 3 3 4 5 7 9 9 10 10 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 9 9 10 11 11 12 12 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 8 9 9 8 9 9 10 10 9 9 9 8 8 9 10 11 12 12 13 12 11 10 10 9 9 9 9 10 10 10 8 6 6 7 8 9 8 nan
nan 9 11 13 15 15 15 15 16 16 16 14 12 10 9 8 7 7 7 7 7 7 7 6 6 8 14 17 17 14 10 6 4 4 5 6 7 8 8 8 9 9 8 8 8 8 8 9 10 11 12 12 13 13 14 12 9 6 4 4 4 5 5 7 8 10 10 10 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 10 11 12 12 12 11 11 10 9 9 9 9 9 10 9 8 6 6 6 8 8 8 nan
nan 10 12 13 14 13 12 11 11 12 12 12 11 10 9 8 8 7 6 6 6 6 5 4 5 9 14 17 17 15 12 9 7 6 6 7 7 7 8 8 9 8 8 8 8 8 8 9 11 12 13 12 11 11 11 10 9 7 6 5 6 7 7 8 9 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 9 9 10 10 11 11 11 11 12 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 12 11 11 10 10 11 11 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 8 7 7 7 8 8 8 8 9 9 10 11 11 11 11 10 10 9 9 10 10 11 11 11 11 11 11 10 9 9 8 8 8 8 7 7 6 7 8 8 9 nan
nan 11 12 13 13 12 11 10 10 9 10 9 9 9 9 9 8 7 6 5 4 3 2 2 5 11 16 18 17 14 12 10 8 8 7 7 7 7 7 8 8 9 8 8 8 8 9 9 10 12 13 13 12 10 10 10 9 9 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 11 10 10 10 11 12 13 12 11 10 10 11 11 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 11 12 12 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 8 7 7 7 7 7 7 8 8 8 9 10 10 nan
nan 12 12 13 12 12 11 11 11 10 9 9 8 8 8 8 8 7 6 4 2 -0 -1 1 8 15 19 19 16 12 9 8 8 8 8 7 7 7 7 8 8 9 8 8 8 8 9 9 10 11 12 12 11 10 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 10 10 9 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 12 13 13 12 11 10 10 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 11 12 13 13 12 11 10 10 10 11 11 11 11 11 11 11 10 9 9 8 7 7 7 7 8 9 9 10 10 11 12 13 nan
nan 12 12 13 12 11 10 10 10 10 9 9 8 8 7 7 7 7 5 3 0 -1 0 6 15 20 21 18 14 9 7 6 7 8 8 8 7 7 7 8 8 9 9 8 8 8 9 9 10 10 11 11 11 10 9 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 12 11 10 9 10 11 12 13 13 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 8 8 7 8 9 9 9 8 8 8 9 9 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 9 9 8 8 8 9 9 10 10 11 12 13 13 14 14 15 nan
nan 11 11 12 11 10 10 10 11 11 9 8 7 6 6 5 5 5 4 2 1 2 7 16 23 23 21 16 11 8 6 6 7 8 8 8 8 7 7 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 10 10 10 10 10 11 11 11 11 11 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 12 13 13 13 12 11 10 9 9 10 11 12 13 13 13 12 11 11 10 9 9 8 8 9 9 9 9 9 9 8 8 7 8 9 9 9 9 9 9 9 10 11 12 13 13 13 13 12 12 12 12 12 12 12 12 12 11 10 10 10 10 10 10 11 12 13 13 14 14 15 15 16 17 nan
nan 10 10 11 11 12 14 16 16 16 14 10 7 5 4 3 3 3 3 2 3 6 14 22 25 23 19 14 10 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 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 12 13 14 13 11 10 9 8 8 10 11 12 13 13 13 12 11 11 10 9 9 8 8 9 9 9 9 9 9 9 8 7 8 9 9 10 10 9 9 10 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 14 15 15 15 15 16 17 nan
nan 10 10 11 13 16 20 24 26 25 21 15 10 5 2 0 1 2 4 5 7 11 17 21 21 18 14 11 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 10 9 10 11 11 11 10 10 10 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 13 12 10 9 9 8 9 11 12 12 13 13 13 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 13 13 14 13 13 13 13 14 14 14 13 13 14 14 15 15 nan
nan 13 14 15 17 19 22 26 28 28 26 20 12 5 0 -1 1 5 8 11 13 15 16 16 15 12 10 9 9 9 8 8 7 6 7 7 8 8 8 8 9 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 10 9 9 9 10 11 12 12 13 13 13 13 12 11 10 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 8 9 10 11 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 12 13 13 13 13 13 14 14 14 13 12 12 12 13 13 14 nan
nan 17 18 20 21 20 20 22 24 24 23 18 10 4 0 0 4 9 14 16 16 15 13 12 10 9 8 9 10 10 9 8 7 7 7 7 7 8 8 8 9 9 8 8 8 8 7 8 8 8 9 9 9 9 9 9 9 9 9 9 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 10 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 11 11 12 12 13 13 13 13 12 11 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 10 11 11 11 11 12 12 13 13 13 12 11 10 10 11 12 12 nan
nan 19 21 22 22 19 17 16 17 17 16 14 8 3 2 3 8 13 17 17 15 13 10 9 8 8 8 9 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 10 10 10 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 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 9 9 9 9 10 10 11 11 11 12 12 13 13 13 12 11 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 9 10 10 11 11 10 10 10 11 11 12 12 11 11 10 9 9 10 10 nan
nan 20 21 22 20 17 14 13 12 12 12 10 7 4 5 6 9 13 16 15 13 10 9 8 7 7 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 10 10 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 10 10 9 9 10 10 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 12 12 12 12 11 9 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 12 12 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 10 10 9 10 10 nan
nan 17 18 18 17 15 13 11 10 9 9 8 7 6 7 8 9 11 12 12 11 9 8 7 7 7 8 8 8 8 8 9 9 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 12 12 13 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 9 10 10 10 10 10 10 9 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 9 9 10 10 11 11 10 10 10 10 nan
nan 11 12 13 13 13 11 10 9 8 8 8 7 7 7 7 8 9 10 10 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 11 11 10 11 12 12 13 13 13 12 11 10 9 9 8 9 9 9 9 8 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 10 10 11 11 11 11 10 11 11 11 10 9 9 10 10 10 10 10 10 10 10 nan
nan 7 8 9 10 10 10 9 9 9 8 8 8 7 7 6 7 7 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 12 11 11 11 11 11 10 11 10 10 10 10 10 11 11 11 11 11 11 11 10 11 11 12 13 13 13 12 11 11 11 12 13 13 13 13 12 12 11 10 9 9 9 9 9 9 9 8 8 8 8 9 9 10 10 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 11 11 11 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 nan
nan 10 11 10 10 9 9 10 10 10 10 9 9 8 7 7 6 6 7 8 8 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 12 13 14 14 13 12 11 11 12 12 13 14 14 13 13 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 10 10 10 11 11 10 10 10 nan
nan 18 19 17 14 12 11 11 11 11 11 10 10 9 9 8 7 6 7 7 7 8 8 8 7 7 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 13 14 14 14 13 12 12 12 13 13 14 13 13 13 12 12 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 8 9 9 10 11 11 11 11 10 10 11 11 11 10 10 11 11 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 nan
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nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 14 14 14 14 14 13 12 10 9 10 12 13 14 13 11 9 8 8 10 11 12 13 13 13 13 12 11 11 11 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 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 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 nan
nan 11 11 12 12 12 12 12 12 12 12 12 13 13 12 12 11 10 10 10 10 10 10 11 11 10 10 11 10 10 10 11 11 11 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 13 13 15 15 15 14 13 11 11 11 13 14 15 14 11 9 8 9 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 11 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 12 12 11 10 9 10 nan
nan 11 11 11 12 12 12 12 12 12 12 12 12 13 12 12 11 11 10 10 10 10 10 11 10 10 10 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 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 14 15 15 15 14 12 11 11 12 14 16 15 13 10 9 8 9 10 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 12 13 13 13 12 12 12 11 11 11 11 11 11 10 10 10 10 11 11 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 10 10 nan
nan 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 10 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 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 14 15 15 16 16 15 14 14 14 13 13 11 10 11 12 15 16 14 11 8 7 6 8 10 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 10 12 13 13 13 12 12 11 12 12 12 11 11 10 10 10 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 11 11 11 10 10 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 10 10 10 10 10 11 12 12 12 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 12 13 15 16 17 18 17 15 14 12 12 11 10 9 10 11 13 16 16 14 10 6 5 5 7 9 10 11 11 11 11 11 11 12 12 11 10 9 9 9 9 10 12 13 13 12 12 11 11 11 12 12 12 11 11 10 11 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 10 10 10 10 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 9 10 10 11 12 12 12 12 11 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 14 14 15 16 16 15 14 12 11 10 9 8 9 10 12 15 17 16 13 9 5 3 4 6 8 9 10 11 11 11 12 12 12 12 11 10 9 9 9 10 11 12 12 12 12 12 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 13 13 12 12 12 12 11 11 12 11 11 11 11 11 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 13 13 13 14 13 12 11 10 9 9 9 10 12 14 16 17 15 12 9 5 3 4 5 7 8 9 11 11 11 12 12 12 12 11 10 9 9 9 10 11 12 12 12 12 12 11 11 11 11 11 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 11 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 nan
nan 13 13 13 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 11 11 12 12 12 12 11 11 10 9 10 10 11 13 14 13 12 10 8 6 5 5 6 7 8 9 10 10 10 11 11 11 11 10 9 8 8 9 10 11 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 11 11 12 12 12 11 11 11 11 11 11 12 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 11 nan
nan 13 13 13 13 12 12 11 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 10 10 11 11 11 12 12 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 10 10 10 9 9 9 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 12 12 12 12 12 11 10 9 9 10 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 9 7 7 7 9 10 11 12 12 12 13 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 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 10 10 10 10 10 10 10 11 11 12 12 12 12 12 11 11 12 nan
nan 12 12 13 13 13 12 12 12 11 11 11 11 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 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 8 9 10 11 11 12 13 13 13 12 10 9 8 9 10 9 9 8 9 9 10 11 11 11 11 10 10 10 9 8 8 8 8 8 7 7 7 9 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 13 13 13 12 12 11 11 11 11 11 11 12 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 10 10 10 11 12 12 12 12 13 13 13 13 nan
nan 12 12 13 13 13 13 13 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 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 11 12 12 12 12 12 12 11 10 9 9 9 10 10 11 12 13 13 12 11 9 8 9 9 9 9 10 10 11 11 12 12 12 11 11 11 11 9 8 7 7 7 6 6 7 10 12 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 13 nan
nan 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 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 9 10 10 11 11 12 12 12 12 12 12 13 13 13 14 14 13 13 12 11 10 10 9 9 10 12 13 13 12 11 8 8 8 9 9 9 10 11 11 11 12 12 12 12 12 13 12 10 7 6 5 5 6 6 8 11 13 14 14 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 12 12 12 13 13 13 12 12 11 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 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 nan
nan 12 12 13 13 13 13 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 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 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 13 13 13 13 14 14 14 15 15 15 14 13 12 10 10 11 13 13 13 12 9 7 7 7 8 9 10 10 11 11 12 12 13 13 14 15 15 14 11 8 6 4 4 5 7 9 11 13 13 13 13 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 13 13 12 12 11 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 10 10 10 10 10 10 11 11 11 12 12 12 12 13 13 13 nan
nan 13 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 10 11 11 12 12 13 13 13 12 12 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 11 11 12 12 13 13 12 12 12 12 12 12 13 14 15 17 17 17 16 14 12 11 12 12 13 12 11 8 6 6 7 8 9 10 11 11 11 12 13 14 15 16 17 17 15 12 9 7 5 5 5 7 9 11 12 13 13 13 12 12 12 12 12 12 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 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 10 11 11 11 11 12 12 13 13 13 13 nan
nan 12 13 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 12 12 11 11 12 12 12 12 12 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 12 12 12 12 11 11 10 11 11 12 13 16 18 18 17 16 14 12 11 11 11 11 11 9 8 7 7 8 9 10 11 11 11 12 14 16 18 19 19 17 15 11 9 8 6 6 6 7 9 10 11 12 13 13 12 12 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 nan
nan 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 11 11 11 11 11 11 12 12 12 11 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 9 9 9 10 10 10 11 11 11 10 10 10 10 10 12 14 15 16 16 15 13 12 11 11 10 11 11 11 10 9 8 7 8 9 10 11 12 13 16 18 19 19 17 15 12 10 8 8 7 7 7 7 8 9 10 12 12 12 12 12 11 12 12 12 13 13 13 13 13 13 13 14 14 13 13 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 13 13 13 13 nan
nan 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 12 12 12 12 12 13 13 13 13 12 12 11 11 11 11 11 11 12 12 12 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 11 11 11 11 12 12 12 10 9 8 7 8 9 10 11 12 15 18 19 19 18 14 11 9 8 8 7 7 7 7 7 7 9 10 12 12 12 12 11 11 11 12 12 12 13 13 13 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 11 11 11 10 10 10 10 11 12 12 12 12 13 14 14 14 nan
nan 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 12 12 11 11 11 11 11 11 11 12 12 11 11 10 10 10 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 10 10 10 10 10 11 11 11 11 11 12 13 13 12 10 8 7 7 8 9 10 11 13 16 18 18 18 15 12 10 9 8 7 7 7 6 6 6 7 9 11 12 13 13 12 11 11 11 11 12 12 13 13 13 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 11 12 12 13 13 14 14 14 15 nan
nan 12 12 12 12 12 12 13 13 13 14 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 11 11 11 10 10 10 10 10 9 9 9 10 11 10 10 10 10 12 13 12 10 8 7 6 7 9 9 10 12 14 15 16 16 15 14 12 10 10 9 8 7 6 5 4 5 7 10 11 12 13 13 12 11 11 11 11 12 12 13 13 13 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 10 11 11 12 13 14 14 14 14 14 nan
nan 11 12 12 12 12 12 12 13 13 13 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 12 12 13 13 12 12 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 11 11 10 10 10 10 9 9 10 11 11 10 10 10 10 11 11 10 9 7 6 6 7 8 9 10 11 12 12 12 12 12 13 13 12 12 10 8 7 6 4 4 4 6 10 11 12 12 12 12 11 11 11 11 12 12 12 13 13 13 14 14 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 12 13 13 13 13 13 13 nan
nan 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 10 11 11 12 13 13 13 12 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 11 11 11 11 10 10 11 11 11 10 9 7 7 7 8 9 9 10 10 9 8 7 8 10 12 13 13 12 10 8 7 6 5 4 5 7 10 11 12 12 12 12 11 11 11 11 11 12 12 12 12 13 13 14 14 14 14 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 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 nan
nan 11 11 11 11 12 12 12 12 12 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 11 12 13 13 13 12 11 11 11 11 12 12 12 11 11 11 10 10 10 10 11 11 11 12 11 11 11 11 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 12 13 13 13 13 12 11 11 11 11 11 10 10 10 11 12 13 14 14 12 9 7 7 8 9 10 10 9 8 7 6 6 8 9 11 11 10 9 8 8 7 6 5 6 8 10 11 12 12 12 12 12 11 11 11 11 11 11 12 12 13 13 13 13 14 14 14 13 13 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 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 12 nan
nan 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 11 11 11 12 12 13 13 12 11 11 11 11 12 12 12 12 12 11 10 10 10 10 11 11 12 12 12 12 11 11 10 10 10 10 9 9 9 9 9 10 11 11 11 11 11 12 12 13 14 14 14 13 12 12 11 11 11 11 11 12 14 15 16 16 15 12 8 7 6 7 9 10 11 12 12 11 10 10 9 9 9 8 8 8 8 8 7 6 7 8 9 11 11 12 12 12 13 13 12 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 12 11 11 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 12 12 12 12 13 13 13 13 13 12 nan
nan 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 13 13 13 12 11 11 11 11 12 12 12 12 11 10 9 9 9 10 10 11 12 12 11 11 10 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 12 13 14 14 14 13 13 12 12 11 12 13 14 15 16 16 16 15 11 8 6 5 6 7 9 11 12 14 16 17 17 16 14 13 12 11 10 10 9 8 7 7 8 9 10 11 12 12 13 13 13 13 13 12 12 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 nan
nan 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 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 12 12 11 10 9 9 10 10 10 11 11 11 11 11 11 11 10 11 11 11 10 10 10 10 10 10 11 10 10 10 11 12 12 13 13 13 12 11 11 12 12 13 14 15 15 15 14 11 7 5 5 5 7 8 10 11 12 14 17 19 20 20 19 18 17 16 15 13 11 9 8 8 9 10 11 11 12 13 13 13 14 14 13 13 12 12 11 11 11 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 13 13 13 13 13 13 13 13 13 nan
nan 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 14 14 14 14 14 13 12 12 12 12 12 12 12 13 13 13 12 12 11 11 10 11 11 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 11 12 12 11 11 11 11 11 12 12 12 13 13 13 10 6 5 5 6 8 9 10 11 11 13 15 18 20 21 21 21 19 17 15 13 11 10 9 9 10 10 11 11 12 12 13 13 13 13 13 13 13 12 12 12 12 12 12 12 13 13 13 13 13 13 14 14 13 13 12 12 12 12 11 11 11 10 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 13 14 14 14 13 13 13 13 12 12 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 14 14 14 14 14 14 13 13 12 12 12 12 12 13 13 13 13 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 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 11 11 12 13 14 15 12 9 7 7 7 9 10 10 10 11 12 14 17 18 20 20 20 18 16 14 12 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 13 13 13 13 14 15 15 15 14 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 12 12 12 12 12 13 14 15 16 15 15 14 13 13 13 12 12 nan
nan 12 12 12 12 13 13 13 13 13 13 13 12 12 11 11 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 13 13 13 13 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 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 12 10 9 8 9 9 10 10 10 11 12 14 14 15 16 17 17 16 15 13 12 11 10 10 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 14 15 16 16 15 14 13 13 13 13 13 12 nan
nan 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 13 13 13 13 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 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 10 10 10 10 11 11 12 13 12 11 10 9 9 9 10 10 10 11 11 12 12 12 12 13 13 14 14 14 13 12 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 11 11 10 10 10 10 10 11 11 11 11 12 12 12 13 13 13 13 13 13 14 14 14 13 13 13 13 13 13 13 13 nan
nan 12 12 12 12 12 12 11 11 11 11 12 11 11 11 11 10 10 11 11 11 11 12 12 12 13 12 12 12 12 12 13 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 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 12 12 12 12 13 13 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 13 13 13 13 13 12 12 12 12 12 13 14 14 14 13 13 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 10 11 11 11 11 12 12 12 13 13 13 13 13 12 12 12 12 12 12 12 12 13 13 13 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
1 2 4 6 8 10 11 11 10 9 8 7 6 6 6 6 4 3 3 4 4 5 6 6 7 7 9 11 13 14 15 16 17 18 17 15 13 9 7 3 2 6 12 20 36 37 27 17 7 0 0 0 3 10 22 36 46 53 57 58 60 61 63 66 70 74 72 72 72 72 71 71 75 81 90 104 117 125 127 126 119 107 90 74 59 48 36 25 16 11 10 7 7 6 6 6 6 5 5 5 4 2 3 7 9 11 11 5 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 6 17 32 46 47 40 32 24 17 12 7 4 4 6 13 27 38 48 64 88 108 128 144 156 168 171 166 158 150 143 124 103 82 62 46 45 47 48 50 55 56 63 74 84 88 90 127 160 187 210 226 235 247 261 277 298 328 356 389 437 508 557 598 647 704
1 3 4 5 6 8 11 12 11 10 9 8 8 8 7 8 6 4 4 5 6 5 5 5 5 6 7 9 11 12 13 16 20 23 25 23 19 15 13 13 16 17 19 20 21 18 11 5 2 0 0 2 9 19 31 38 39 42 47 49 51 52 51 52 53 56 58 60 62 64 65 66 67 69 74 86 101 114 125 133 137 133 119 103 86 71 56 43 31 23 18 17 18 19 20 21 21 19 17 14 12 9 10 12 14 14 14 12 11 9 5 2 1 0 0 0 0 0 0 0 0 0 0 1 1 1 2 0 1 0 0 0 0 0 1 2 4 5 5 13 24 40 58 72 81 96 108 112 110 110 116 124 130 122 103 88 74 61 54 53 53 56 63 72 78 81 82 83 86 91 115 141 163 176 180 196 216 236 253 270 305 326 349 384 435 480 537 623 728
1 2 3 3 4 6 9 9 8 7 7 7 6 5 6 6 6 5 5 7 9 9 8 7 5 5 6 6 8 9 10 14 20 25 29 28 24 21 18 17 17 17 16 13 9 6 3 1 0 0 0 7 18 28 36 37 33 34 36 39 41 41 40 40 41 43 44 48 52 54 53 52 52 54 58 65 80 95 108 120 129 131 123 113 99 83 67 56 44 36 34 32 32 33 34 35 35 33 28 25 22 20 18 19 20 20 20 20 18 15 12 9 5 2 1 0 0 0 0 0 3 7 12 17 21 21 18 11 17 15 12 9 8 11 15 17 17 19 19 21 29 43 59 61 61 69 75 74 69 67 66 73 83 82 77 72 68 65 62 59 56 60 73 89 100 108 109 108 113 123 141 158 167 163 164 176 194 212 228 246 279 304 323 343 367 411 493 616 754
0 0 1 2 4 6 7 6 4 3 3 2 2 2 3 4 6 7 8 10 12 13 13 12 11 9 8 6 5 6 7 10 16 22 27 28 25 22 18 15 13 14 15 17 18 16 5 1 0 0 2 11 23 30 33 31 26 30 33 35 34 29 28 29 32 36 38 41 43 44 44 44 42 44 47 52 61 71 83 96 107 114 113 108 101 91 79 67 57 51 47 42 41 41 42 43 43 42 39 36 34 32 30 29 31 32 32 32 29 25 21 19 15 11 7 5 3 2 0 1 7 18 26 36 44 51 56 64 82 68 52 43 39 36 37 39 39 38 36 35 37 41 46 59 42 37 40 41 36 31 41 55 64 67 61 50 44 48 58 49 44 47 57 70 92 121 136 138 139 148 162 175 180 179 190 207 228 253 280 309 330 344 351 355 371 427 539 673 783
0 0 1 2 4 5 4 3 1 1 0 0 0 1 1 2 5 7 9 11 13 14 14 15 16 14 12 10 8 6 5 5 9 13 18 21 21 19 15 12 10 12 15 19 21 18 5 2 0 1 5 14 25 27 26 23 20 25 29 28 24 17 16 19 22 26 29 33 36 38 38 39 38 39 43 47 52 61 73 87 101 112 115 114 109 102 92 80 70 62 56 50 46 47 48 50 51 52 50 48 46 45 44 44 46 47 49 50 48 43 38 34 28 26 24 21 18 15 9 7 12 22 33 45 56 63 68 73 93 89 80 73 69 67 68 67 63 57 54 54 51 45 37 35 30 26 24 23 22 21 25 36 50 56 45 32 26 29 30 25 25 28 32 36 53 97 132 145 144 158 177 192 206 232 266 295 327 366 416 450 466 466 459 461 491 575 685 791 862
2 0 1 2 3 3 3 1 0 0 0 0 0 0 0 0 1 4 8 9 10 11 11 10 10 8 5 4 3 2 2 2 3 7 11 16 17 15 11 8 9 12 16 17 16 10 2 0 0 2 7 17 27 25 22 20 21 25 26 24 20 14 14 15 18 21 25 27 29 30 31 32 34 37 40 43 47 53 65 77 90 102 111 116 117 112 103 93 85 78 73 67 61 61 61 62 62 62 62 61 61 61 62 62 64 67 72 77 77 70 61 53 48 45 43 42 40 37 34 30 30 34 40 48 56 60 63 67 71 72 71 69 67 68 68 68 67 67 68 72 70 62 54 44 35 30 28 28 29 29 31 32 34 32 32 32 32 34 34 33 30 28 26 26 31 56 85 109 136 164 183 195 212 249 304 347 381 417 470 515 555 586 608 620 638 692 760 830 882
5 0 0 0 2 3 3 2 1 0 0 0 0 0 0 0 0 1 3 5 6 6 6 4 2 1 0 0 0 0 0 0 1 3 7 11 12 10 8 7 8 10 11 9 6 3 1 0 1 4 11 21 31 28 28 30 31 30 29 27 23 17 13 14 16 19 22 24 25 25 26 27 30 32 36 40 45 49 58 66 77 92 107 119 126 125 118 107 98 92 88 84 82 79 77 74 70 69 69 69 71 73 75 77 82 88 96 104 108 105 96 84 76 70 65 62 61 58 52 48 46 45 43 43 46 48 49 50 52 53 52 51 52 56 58 60 62 64 67 71 71 67 63 56 47 42 41 43 42 42 41 41 40 39 40 41 42 42 41 37 32 28 27 27 28 33 40 52 73 125 149 159 168 189 220 239 258 287 332 381 442 515 589 626 638 669 708 742 751
6 0 0 0 1 2 3 3 2 1 1 1 2 1 0 0 0 0 0 1 2 3 3 3 2 1 1 0 0 0 0 0 0 0 2 4 6 5 4 5 6 6 5 1 0 0 0 0 2 8 16 26 33 34 39 45 47 44 35 31 27 21 13 12 13 14 16 17 18 19 20 22 24 26 30 36 44 47 53 60 68 80 93 109 123 129 126 119 112 106 102 99 98 92 88 83 77 73 72 72 74 76 80 86 95 106 117 125 131 133 129 122 112 101 92 86 82 77 69 61 55 48 43 39 38 37 35 32 30 33 36 39 40 42 45 50 56 60 63 66 68 71 75 75 70 68 70 70 65 62 61 60 57 52 51 52 52 50 45 39 35 31 29 30 32 31 31 33 38 77 101 112 111 88 78 63 64 90 119 153 211 286 365 436 480 521 557 576 551
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