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 7 7 8 8 9 10 10 10 10 10 9 9 9 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 8 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 7 7 5 3 0 1 3 6 10 15 17 15 12 10 11 12 13 14 14 14 14 14 14 15 15 15 15 16 16 16 15 15 15 15 15 15 15 15 15 15 16 16 16 16 16 16 16 16 16 16 16 16 16 15 15 15 15 15 14 14 14 14 14 14 12 13 13 13 13 14 15 15 15 15 15 14 14 15 15 14 14 13 12 11 11 12 15 19 23 27 29 31 31 30 27 24 19 15 11 9 8 8 7 8 8 9 9 nan
nan 8 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 8 8 8 7 7 8 8 7 6 6 6 7 8 8 8 8 7 7 7 7 7 6 6 6 7 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 8 7 6 5 3 -0 -0 2 5 8 12 15 16 12 8 7 8 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 13 13 13 14 14 14 14 14 15 15 15 15 14 14 15 15 14 14 13 13 14 15 14 13 14 14 14 13 13 14 14 15 15 15 15 14 14 14 14 14 13 13 11 11 10 10 12 14 18 22 28 33 35 34 33 30 24 18 15 13 11 10 9 8 9 9 nan
nan 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 5 5 6 6 6 6 6 6 7 7 7 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 7 8 8 7 7 6 3 0 -0 1 3 5 8 12 15 13 7 4 3 4 4 4 5 6 6 7 7 8 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 10 11 11 12 12 11 12 12 12 13 13 12 13 13 13 13 13 13 13 13 14 15 15 15 15 14 13 13 14 14 14 14 14 14 14 13 12 12 12 12 12 12 12 11 10 9 9 10 13 18 25 30 32 32 32 30 26 23 21 19 17 14 12 11 11 nan
nan 10 11 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 7 8 8 8 8 8 7 7 8 7 6 6 5 5 5 6 5 4 4 5 6 7 7 7 6 6 6 7 7 7 8 8 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 8 8 7 7 8 8 8 7 6 4 2 1 1 1 3 4 8 12 12 7 2 -0 0 2 3 4 5 6 7 7 7 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 12 13 14 13 13 12 12 12 12 12 12 12 12 12 12 10 10 10 10 10 10 11 11 11 10 10 9 8 10 13 17 20 23 24 26 28 28 28 27 25 23 20 17 15 nan
nan 11 11 10 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 8 7 7 8 8 8 7 7 8 8 9 9 9 7 6 6 6 6 6 5 4 4 5 7 8 8 7 6 6 6 6 7 8 8 8 7 7 7 8 8 8 8 8 9 9 8 7 6 6 7 7 8 8 8 7 7 8 8 7 7 6 4 2 1 -0 1 3 6 9 9 6 2 -1 -1 2 4 5 6 7 7 8 8 8 7 7 6 6 5 5 5 6 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 9 10 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 8 8 8 8 9 10 10 11 10 9 8 8 9 10 12 14 16 20 24 27 29 30 30 28 25 21 nan
nan 11 11 10 8 8 8 8 9 9 9 9 9 9 8 8 7 8 9 9 10 9 9 8 8 9 9 8 7 7 8 9 10 11 11 10 9 9 8 8 6 5 5 6 7 8 9 9 8 7 6 6 6 7 7 7 8 7 7 8 8 9 8 8 7 8 8 8 7 6 6 7 7 8 8 8 8 8 8 8 7 7 7 6 4 2 -1 -0 2 4 6 6 4 1 -1 -1 2 5 6 7 7 7 8 8 8 8 8 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 7 7 7 6 6 5 5 6 7 6 6 7 7 7 7 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 9 9 9 9 9 8 7 8 8 9 11 15 18 21 25 29 31 30 28 nan
nan 11 10 9 8 8 8 9 9 9 9 8 8 7 7 6 6 6 7 8 8 9 9 9 10 10 10 9 9 9 9 10 10 11 11 12 12 11 10 9 8 7 7 7 8 8 9 10 10 8 7 6 6 6 7 7 7 7 8 9 9 9 8 8 8 9 9 8 8 7 7 7 8 8 8 8 8 8 9 8 7 7 8 7 5 3 1 0 1 2 3 3 1 -1 -2 -0 2 4 5 6 7 7 7 8 8 8 8 7 7 6 6 6 7 7 7 7 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 7 7 7 6 6 5 5 6 6 7 8 9 8 8 8 8 7 7 8 9 11 15 20 25 28 29 nan
nan 9 10 9 8 8 8 8 8 8 8 8 7 6 6 6 5 6 6 7 7 8 8 8 9 10 11 10 10 10 10 10 10 10 10 11 12 11 10 9 9 9 9 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 9 9 8 8 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 9 8 8 8 8 7 6 5 4 2 2 2 2 1 -2 -4 -3 -1 2 3 4 5 6 6 7 8 8 8 7 7 6 6 6 6 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 4 4 4 5 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 5 5 6 6 6 6 6 6 6 5 5 5 5 5 6 7 8 9 9 8 8 7 6 6 7 10 15 20 24 nan
nan 9 10 9 9 8 8 7 7 7 7 7 6 6 5 5 5 5 6 7 8 8 8 7 8 9 10 10 9 9 9 9 9 9 10 10 10 9 8 8 9 9 9 8 7 8 8 9 9 8 8 7 7 8 9 9 9 8 8 9 9 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 7 8 8 7 6 5 5 5 5 4 3 1 -3 -6 -6 -3 0 2 4 5 6 7 7 8 8 7 7 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 6 7 8 9 9 9 8 6 6 6 7 11 15 nan
nan 9 9 9 9 8 7 7 7 6 6 6 6 6 5 5 5 6 6 7 9 9 8 8 7 8 9 9 8 8 7 7 8 9 9 9 9 8 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 8 9 9 9 8 8 8 9 9 8 7 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 7 7 7 8 8 7 6 5 5 6 6 5 3 -1 -6 -7 -5 -2 0 2 4 6 7 7 8 7 7 6 6 5 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 5 6 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 6 6 8 9 9 9 8 7 6 6 8 nan
nan 8 8 8 8 7 7 6 6 6 6 6 6 6 5 5 6 6 7 8 9 9 9 8 8 7 8 8 7 7 6 6 7 8 9 9 9 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 8 8 8 8 8 8 9 9 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 7 7 8 9 9 8 7 6 5 5 6 6 5 2 -2 -6 -6 -5 -3 0 3 5 6 7 7 7 7 6 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 6 7 8 9 9 10 8 7 7 nan
nan 8 7 7 7 7 7 6 6 6 6 6 6 5 5 6 6 7 8 9 10 9 9 9 8 8 7 7 7 7 6 6 7 7 8 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 6 5 5 5 6 6 5 3 -1 -5 -7 -7 -4 0 3 5 6 6 7 6 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 6 6 6 6 7 8 10 10 10 9 nan
nan 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 7 8 10 11 10 9 8 8 8 8 8 8 8 7 6 6 6 7 8 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 8 7 6 5 4 4 6 7 7 6 4 -0 -5 -9 -8 -5 -1 3 5 6 7 7 6 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 6 6 7 8 9 10 10 nan
nan 8 8 8 7 7 7 7 7 6 6 6 6 7 7 7 7 9 11 11 10 8 8 8 8 9 9 9 8 8 7 6 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 7 7 7 7 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 9 9 9 8 8 8 8 8 8 9 9 8 7 6 5 4 4 6 7 8 8 7 4 0 -5 -9 -9 -6 -1 4 6 7 7 6 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 9 9 nan
nan 9 9 8 8 8 7 7 7 6 6 6 6 7 7 7 8 10 11 10 8 8 7 8 8 8 9 9 9 8 8 7 7 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 7 7 6 6 7 8 9 9 9 9 8 7 7 7 8 8 9 9 8 7 7 6 4 4 6 7 7 8 7 7 5 0 -5 -10 -10 -5 1 5 6 6 6 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 9 9 8 8 8 8 nan
nan 9 9 8 8 7 7 7 7 6 6 6 6 6 7 7 9 10 10 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 7 8 8 8 8 7 7 6 6 7 8 8 8 9 9 9 7 7 7 7 8 9 9 8 8 7 7 6 5 6 7 7 7 7 7 6 5 -0 -8 -11 -8 -2 3 5 5 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 7 7 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 9 8 nan
nan 9 9 9 8 8 7 7 7 7 6 6 7 6 7 8 9 10 9 8 8 7 7 7 7 7 8 8 8 8 7 8 9 9 9 8 7 8 8 8 7 6 6 7 8 8 8 9 8 8 8 8 7 7 8 9 9 9 8 7 7 7 8 8 8 8 7 7 6 6 8 8 7 6 7 9 9 8 7 8 8 8 9 9 9 8 8 7 7 6 6 7 7 7 7 7 6 6 2 -4 -9 -9 -3 2 4 4 4 5 5 5 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 9 9 8 8 8 8 8 8 8 8 9 9 10 11 11 10 10 nan
nan 9 10 9 8 8 7 7 7 7 7 7 7 7 7 8 10 10 9 8 7 7 7 7 7 7 8 8 8 8 7 6 7 8 8 8 8 7 7 7 7 6 6 6 7 8 8 8 9 8 8 8 7 7 8 9 10 9 8 7 7 8 8 8 8 7 7 7 7 7 8 8 6 5 6 7 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 7 7 7 7 7 6 5 4 0 -5 -7 -4 1 3 4 4 4 4 3 4 5 5 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 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 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 10 10 11 nan
nan 9 10 9 8 7 7 7 7 7 7 7 7 7 7 8 10 11 9 8 8 7 7 7 7 8 8 8 9 8 8 7 6 7 8 8 8 8 8 7 7 6 5 5 6 7 8 8 8 9 8 7 7 7 8 9 9 8 7 7 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 9 9 9 9 9 9 9 9 8 8 7 6 7 7 8 8 8 7 6 6 5 3 0 -2 -1 0 1 3 4 4 2 1 1 2 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 7 8 9 10 nan
nan 9 10 10 9 8 8 8 8 8 8 8 8 8 8 9 11 11 9 8 8 7 7 7 7 8 8 9 9 10 9 8 7 7 7 8 8 8 8 8 8 7 6 5 5 6 7 7 8 8 8 7 7 8 8 9 8 8 7 7 8 8 8 8 8 8 8 7 7 7 7 8 8 7 6 6 7 8 9 9 9 9 9 8 8 8 7 7 7 7 7 7 8 8 8 8 7 6 6 5 4 3 2 2 2 3 5 4 1 -1 -2 -0 2 4 5 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 5 6 7 8 nan
nan 9 10 9 9 8 8 8 8 8 8 8 8 8 8 9 10 10 9 8 8 8 8 8 8 8 8 9 9 10 10 9 8 7 8 8 8 9 9 8 8 7 6 5 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 8 8 8 7 6 6 7 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 7 7 7 6 5 5 5 5 5 5 7 5 1 -3 -5 -4 -0 2 4 5 6 7 7 7 7 7 7 7 7 7 7 8 8 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 6 6 6 5 5 4 4 4 5 6 nan
nan 10 10 9 9 8 8 7 7 7 8 8 8 8 8 9 11 10 9 8 8 8 8 8 8 8 8 8 9 9 10 9 8 8 8 8 8 9 9 9 8 7 7 6 5 5 6 7 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 7 8 8 9 9 9 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 7 8 6 3 -3 -7 -6 -2 0 2 4 5 6 6 6 7 7 7 7 7 7 7 8 8 9 9 10 10 10 11 11 12 12 13 13 13 13 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 4 4 5 nan
nan 10 10 10 9 8 7 7 7 7 7 7 7 7 9 11 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 9 10 9 9 8 8 7 7 6 7 7 8 8 8 9 9 10 9 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 7 5 5 7 8 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 7 7 7 7 5 -0 -5 -5 -3 -1 0 2 4 5 6 6 6 7 7 7 7 7 7 8 9 9 10 10 11 11 12 13 13 14 14 14 14 13 12 12 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 7 7 6 5 5 nan
nan 10 10 10 9 8 8 7 7 7 6 6 7 8 9 11 11 10 9 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 10 10 10 10 8 7 7 7 7 8 9 10 10 10 10 9 9 9 9 10 10 10 9 8 7 6 6 6 6 7 7 8 8 6 5 5 7 9 10 9 9 7 6 6 7 7 8 8 8 7 8 8 8 8 7 7 7 8 8 7 7 7 7 8 8 7 7 7 7 6 3 0 -2 -3 -3 -1 0 2 4 5 5 6 7 7 7 7 7 7 8 8 9 10 11 12 13 13 14 14 14 14 14 13 12 12 11 10 9 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 nan
nan 10 10 9 9 8 8 7 7 6 6 6 7 9 9 10 10 9 9 9 8 8 8 8 8 7 7 7 6 7 8 8 8 8 8 8 7 7 8 10 11 11 10 9 7 7 7 7 8 9 10 10 10 10 10 9 9 10 10 11 11 10 9 7 6 6 7 6 6 6 7 8 6 5 5 7 9 10 9 8 7 6 6 7 7 8 8 7 7 7 8 8 7 7 7 7 8 8 8 7 7 8 8 8 7 7 6 6 6 6 5 3 0 -2 -2 -2 -0 2 3 5 6 6 6 6 6 6 7 8 8 9 10 11 12 13 14 14 14 14 13 13 12 11 10 9 9 8 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 8 8 nan
nan 9 10 9 9 8 8 8 7 7 7 7 8 9 9 8 8 9 9 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 8 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 9 10 10 11 11 11 10 9 9 9 8 8 7 7 8 8 8 6 5 6 8 9 10 9 8 7 6 6 7 8 8 8 7 6 7 7 7 7 7 7 7 8 8 8 7 7 8 8 8 7 7 7 7 7 7 7 6 4 2 0 -2 -2 -0 2 4 6 6 6 5 5 6 6 7 8 9 11 11 12 13 13 13 12 12 11 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 9 9 9 9 9 8 nan
nan 9 10 9 9 9 9 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 7 7 8 8 8 9 10 10 10 10 9 7 6 6 7 8 9 8 7 7 7 7 8 10 11 10 10 10 9 9 9 11 12 11 11 10 10 10 10 9 9 9 9 9 9 7 5 5 7 9 9 9 8 7 6 6 6 7 8 8 7 6 6 6 7 7 7 7 8 8 8 7 7 7 7 8 8 8 8 7 7 7 7 8 8 7 7 6 4 1 -1 -1 1 5 7 8 6 5 4 4 5 7 8 9 10 11 11 11 11 10 9 9 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 nan
nan 10 10 10 9 9 9 8 8 8 8 9 9 8 8 7 8 7 7 6 6 6 6 6 7 7 7 8 8 8 8 9 10 10 10 11 10 9 7 6 5 6 7 7 6 6 6 7 8 10 11 10 9 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 9 8 6 4 3 5 8 9 9 9 8 7 6 6 6 7 8 8 7 6 6 6 6 6 6 7 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 7 7 7 7 6 4 2 1 3 6 9 9 6 3 1 1 4 7 9 9 10 10 10 9 8 7 6 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 nan
nan 10 10 10 9 9 9 9 9 9 9 8 8 8 7 8 8 7 6 6 6 6 6 6 7 8 8 8 8 8 9 9 10 10 11 11 11 10 8 7 6 6 6 6 6 6 7 7 8 10 10 10 9 8 8 8 8 9 10 10 10 10 10 10 11 12 12 11 10 7 3 0 2 6 8 9 9 8 8 7 6 6 7 8 8 7 6 6 6 7 7 6 6 6 7 7 7 7 8 8 8 8 8 8 7 7 7 6 7 7 7 7 7 6 6 6 5 5 6 8 10 10 5 -1 -6 -4 3 7 8 9 9 9 8 7 5 4 4 4 4 4 5 6 6 6 6 6 6 6 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 8 nan
nan 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 7 7 6 6 6 6 7 7 8 8 8 8 8 9 9 9 10 11 11 10 9 8 8 7 7 7 7 7 7 7 8 9 9 10 9 9 9 8 8 8 8 8 9 9 10 11 12 13 13 12 10 5 0 -1 2 6 8 10 9 8 7 7 6 6 7 8 8 7 6 7 7 8 7 6 6 6 6 6 6 7 8 8 9 9 8 8 7 6 6 7 7 7 7 7 7 6 6 6 6 7 7 8 8 7 1 -7 -12 -6 2 6 8 9 9 8 7 5 4 3 3 4 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 nan
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nan 10 10 9 9 8 8 9 9 9 9 8 7 8 8 8 8 8 10 10 9 8 7 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 11 10 10 10 10 9 9 8 7 7 7 8 9 9 10 11 12 11 9 8 7 7 8 9 9 10 11 10 9 5 1 -1 1 6 10 12 11 8 7 6 6 6 7 7 7 6 7 8 9 9 8 8 7 7 6 6 6 6 7 8 9 9 9 9 9 8 7 7 7 8 8 8 8 7 6 6 6 6 6 7 8 6 1 -7 -12 -6 2 7 8 8 7 7 6 5 4 5 5 6 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 9 8 8 8 8 9 9 9 8 8 8 8 8 7 7 8 10 10 10 8 7 6 6 6 6 6 7 7 7 7 8 8 8 8 8 9 10 11 11 10 10 10 10 9 8 8 7 7 7 8 8 9 10 11 12 11 9 8 8 8 8 8 8 9 8 6 2 0 1 5 10 14 14 12 9 6 5 5 6 7 7 6 6 8 9 9 9 9 9 9 8 6 6 6 7 7 8 9 9 9 9 8 8 7 7 7 8 8 8 8 8 7 6 6 6 6 7 7 5 -1 -7 -6 2 9 11 10 7 6 5 4 4 4 5 7 8 8 8 8 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 nan
nan 10 10 9 8 9 9 9 9 9 9 8 8 8 8 7 7 8 9 10 10 9 8 7 6 5 5 6 7 7 7 7 7 8 8 8 9 9 9 10 10 9 9 9 9 9 9 8 7 7 7 7 8 8 8 9 11 11 11 11 10 9 8 7 7 7 7 5 3 3 5 9 14 16 15 12 9 6 6 6 7 7 7 7 7 7 8 8 8 9 9 9 7 6 6 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 7 7 6 6 6 6 7 6 5 1 -1 4 11 15 14 10 7 5 4 3 3 4 6 7 8 9 8 7 7 6 6 5 5 5 6 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 7 7 7 7 nan
nan 10 9 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 9 8 7 6 6 6 6 6 7 7 7 7 7 7 8 9 9 8 7 7 8 8 8 8 8 9 9 8 7 7 7 8 8 7 7 9 10 10 10 11 11 9 7 7 7 7 6 5 6 8 12 15 15 14 10 8 7 7 8 9 9 8 7 6 6 6 7 8 8 9 8 6 6 7 8 8 8 8 9 8 8 7 7 7 7 8 8 8 8 8 8 7 7 7 7 6 6 6 7 7 6 7 12 16 17 13 9 6 3 1 1 2 4 6 8 8 8 8 7 6 5 5 5 5 5 6 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 7 nan
nan 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 7 7 6 6 6 7 7 7 6 6 7 8 9 8 7 5 5 6 6 7 7 8 9 10 9 8 7 7 9 9 7 7 7 8 9 8 10 11 10 8 7 7 7 7 7 8 10 12 13 12 10 7 7 8 9 10 10 10 8 7 5 5 6 7 8 8 7 6 6 6 7 8 9 9 9 9 8 7 7 7 7 8 8 8 8 8 8 8 7 7 7 7 7 6 7 7 8 8 9 12 13 12 11 8 5 1 -2 -2 -0 4 6 8 8 8 7 6 6 5 5 5 5 5 6 6 6 6 6 6 5 5 5 5 5 5 5 5 5 5 5 5 6 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 7 8 8 8 8 7 nan
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nan 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 9 10 10 10 9 9 9 8 9 10 10 9 8 7 8 9 10 10 11 10 10 10 10 9 8 6 6 6 6 6 6 7 7 7 6 6 6 7 8 9 9 8 8 9 10 10 9 9 9 9 8 7 7 8 8 7 6 5 5 6 6 7 8 8 8 8 7 6 6 6 7 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 8 4 1 -2 -4 -5 -9 -12 -7 0 4 6 7 7 7 7 6 6 6 5 5 5 5 6 6 6 5 5 5 5 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 9 9 8 8 8 8 8 nan
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nan 7 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 10 10 9 8 7 7 7 7 7 7 7 8 9 9 8 8 8 8 9 9 9 9 10 10 10 10 11 11 10 9 8 9 9 10 10 9 8 8 7 7 8 11 12 12 12 11 11 10 10 9 10 11 11 11 11 11 11 12 12 12 12 11 11 10 9 9 9 9 8 8 8 9 10 10 11 11 12 12 11 9 9 9 12 16 19 22 24 24 23 22 20 18 18 17 16 14 13 12 12 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 11 10 9 9 8 nan
nan 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 9 8 7 6 6 6 6 7 7 8 8 9 9 9 8 8 8 9 9 9 8 7 7 7 8 8 8 8 6 6 6 7 8 8 8 8 8 9 9 11 12 12 11 10 10 10 9 9 9 9 10 11 11 11 12 13 13 13 12 11 10 10 10 10 10 10 10 10 9 9 9 9 9 11 12 12 11 10 11 12 16 21 24 25 26 27 26 27 28 28 27 26 25 22 18 15 13 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 9 9 9 8 nan
nan 8 8 9 9 9 9 9 9 9 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 10 10 10 11 11 11 10 10 10 10 10 10 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 10 10 9 9 8 7 6 6 6 7 8 8 9 9 10 10 10 9 9 9 9 9 8 6 5 4 4 5 6 6 5 4 5 6 8 8 8 8 8 9 9 11 12 12 11 10 9 9 9 9 9 9 10 10 10 10 11 13 14 14 13 11 10 9 8 8 8 9 10 10 11 11 10 9 9 9 10 10 9 9 9 10 11 14 17 19 20 18 16 15 16 19 23 26 27 27 23 19 15 14 14 14 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 9 9 9 9 9 9 nan
nan 8 9 9 9 9 9 10 9 9 8 8 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 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 10 11 10 10 10 9 8 8 7 7 7 7 8 9 9 10 10 11 11 10 9 8 7 7 7 6 5 4 4 4 6 7 6 5 6 8 10 11 10 9 9 8 8 9 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 13 15 15 14 12 10 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 8 8 8 9 9 10 11 12 12 11 9 5 3 2 3 6 9 12 13 11 10 12 16 18 16 14 13 12 12 13 13 12 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 10 nan
nan 9 9 9 9 9 9 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 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 8 7 6 5 6 7 7 7 7 8 9 10 10 8 8 9 11 12 12 11 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 13 15 16 15 14 11 8 8 8 8 8 8 8 8 7 7 8 9 9 10 9 8 8 8 8 9 11 11 12 11 11 10 10 10 9 5 1 -1 -2 -2 -3 -1 3 9 14 15 13 12 12 13 13 13 13 13 12 12 12 11 11 11 10 10 10 10 10 10 10 10 10 11 nan
nan 8 8 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 8 8 9 9 9 9 9 9 9 8 7 6 6 6 5 4 5 7 9 10 11 12 13 13 13 11 9 9 10 12 12 11 11 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 12 12 13 13 14 15 14 13 11 8 7 7 7 7 7 7 7 7 7 7 7 8 9 9 9 9 8 8 8 9 10 12 12 12 12 14 17 19 20 20 16 12 9 6 5 7 11 14 14 12 13 14 15 15 14 14 13 13 12 12 11 11 12 13 13 12 11 11 11 11 11 11 11 11 nan
nan 8 8 8 8 8 9 9 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 11 10 10 10 10 10 10 10 10 10 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 8 5 3 3 3 4 4 5 6 6 5 5 8 10 11 12 14 14 13 12 11 9 8 9 10 11 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 12 12 12 13 12 11 9 7 6 6 6 6 6 6 6 7 7 7 8 8 8 8 9 9 9 8 8 8 8 9 11 12 13 14 15 17 20 22 25 27 27 25 24 24 26 28 28 25 22 22 23 22 21 19 17 16 14 13 13 13 16 19 21 19 16 14 13 12 12 12 12 12 12 nan
nan 8 8 8 8 8 9 9 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 11 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 11 11 11 10 10 10 9 9 9 7 5 2 -2 -6 -8 -6 -3 0 2 3 4 5 5 8 10 12 13 13 13 12 10 8 7 7 8 9 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 8 7 6 5 5 5 5 6 6 7 8 9 9 9 9 9 9 10 10 10 10 9 10 10 10 11 12 13 14 14 14 15 17 20 24 26 28 28 29 31 32 31 29 29 29 29 29 29 28 25 22 20 19 18 18 21 24 25 22 18 14 13 12 12 12 12 12 12 nan
nan 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 9 7 7 8 11 13 13 13 12 12 11 11 11 11 10 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 12 11 11 11 10 10 10 8 5 1 -4 -9 -14 -15 -13 -8 -3 -0 0 0 1 3 5 9 12 12 12 11 10 8 7 6 6 7 9 10 10 9 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 8 7 6 6 6 6 6 6 7 8 9 10 10 10 10 10 10 11 10 10 10 11 12 13 13 13 13 13 13 14 14 13 13 13 14 15 16 18 19 20 20 20 20 20 21 23 25 27 29 29 28 27 28 28 27 25 23 20 18 17 17 17 15 14 13 13 12 12 12 nan
nan 10 10 10 10 10 10 9 9 9 10 10 10 11 11 10 11 11 11 11 11 11 11 11 9 6 2 -1 0 6 11 14 14 14 14 14 13 12 12 11 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 12 11 11 11 10 10 8 3 -3 -8 -12 -14 -14 -10 -5 -0 3 3 1 0 1 4 7 9 10 8 7 6 6 5 5 5 6 7 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 6 7 8 8 8 9 10 10 10 10 10 10 11 11 11 10 10 11 13 14 15 16 16 15 14 14 14 13 12 11 10 9 9 10 10 11 10 10 10 11 12 14 15 17 19 21 23 27 30 32 31 29 24 20 17 19 21 23 22 20 18 15 13 12 12 nan
nan 10 11 11 11 11 10 10 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 10 6 -1 -7 -8 -4 5 12 14 16 17 17 15 14 13 13 12 11 10 10 10 9 9 9 9 10 10 11 11 12 12 12 12 12 11 11 10 10 8 4 -2 -7 -9 -9 -7 -4 -1 3 6 7 6 6 5 6 7 7 7 4 1 -1 -0 1 2 3 4 6 6 6 6 7 8 8 9 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 9 8 7 7 6 6 5 5 6 8 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 14 15 17 17 16 15 14 12 11 10 8 7 7 7 7 7 8 8 8 8 9 10 10 11 11 12 13 16 20 22 24 25 27 27 25 22 21 22 21 20 18 15 12 11 11 11 nan
nan 10 10 11 11 11 10 10 9 9 9 8 8 8 9 10 10 10 11 11 10 10 10 7 1 -7 -11 -9 -2 6 11 13 16 18 18 16 15 14 13 12 11 11 11 10 10 9 9 9 9 10 11 11 12 13 13 12 12 12 11 11 10 7 3 -1 -2 -1 2 3 5 6 7 8 8 8 8 8 8 8 7 4 0 -4 -5 -4 -3 -1 1 3 4 4 4 5 6 6 7 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 8 7 6 6 6 7 6 6 5 5 7 9 10 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 12 12 14 15 15 14 13 11 10 8 7 6 5 6 6 7 8 9 9 9 9 10 10 10 11 11 11 11 12 14 15 16 17 20 22 22 18 12 7 4 3 4 4 6 8 9 10 nan
nan 10 10 10 10 10 10 10 9 9 9 9 8 8 9 9 9 10 10 10 10 9 8 5 -3 -9 -9 -5 1 6 9 11 13 17 19 19 18 17 15 12 11 11 11 10 10 10 10 10 9 10 10 10 12 12 12 12 12 12 12 11 9 8 7 6 7 10 12 13 13 14 13 10 8 7 6 7 7 7 6 4 2 0 -0 -1 -1 -0 1 1 1 2 4 7 7 7 7 7 7 6 6 7 8 9 10 11 11 11 11 11 10 9 7 4 3 4 5 6 7 8 8 8 10 11 11 10 8 8 9 10 10 10 11 11 12 11 11 11 10 10 10 10 10 11 11 11 12 10 9 8 7 6 6 6 6 7 7 9 10 10 10 10 10 11 11 11 11 11 12 12 12 12 12 13 13 14 12 7 1 -5 -7 -7 -3 0 4 7 8 9 nan
nan 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 7 2 -5 -9 -7 -2 3 7 8 9 11 14 18 22 23 21 16 12 11 11 11 10 9 9 10 10 9 9 8 9 10 11 11 12 12 12 11 10 10 10 11 12 14 17 18 18 19 18 16 11 8 7 6 6 6 6 6 6 5 5 6 6 5 4 3 1 1 3 6 7 8 7 7 6 5 5 5 7 8 10 11 12 12 12 11 10 8 6 4 3 4 5 7 8 9 9 10 12 13 13 11 9 8 8 9 10 11 12 12 12 12 11 10 9 8 8 8 8 8 8 8 9 9 8 8 9 8 7 7 7 7 7 8 9 10 11 12 12 12 11 11 11 11 12 12 13 12 11 11 11 10 8 4 -1 -4 -4 -3 -1 1 4 6 8 8 9 nan
nan 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 6 -1 -7 -8 -6 -1 4 7 9 9 9 12 17 23 26 23 16 12 11 11 10 9 9 9 9 9 9 9 8 8 9 9 10 11 12 12 11 10 10 11 12 12 14 15 16 15 14 12 10 9 9 10 10 9 8 7 7 7 7 8 8 9 8 8 7 6 6 6 6 4 2 2 3 4 5 6 7 7 8 10 11 12 11 10 9 7 6 5 6 7 9 10 10 10 11 12 12 12 12 12 11 9 10 10 11 12 12 12 12 11 10 9 7 6 5 6 6 7 7 7 7 8 8 8 9 9 9 8 8 8 8 8 9 10 11 13 14 13 12 12 11 11 11 11 12 12 11 10 9 8 5 1 -4 -6 -5 -2 2 5 6 7 8 8 9 9 nan
nan 11 10 9 9 9 9 9 10 10 10 11 10 10 9 9 8 8 8 8 8 7 4 -3 -8 -8 -5 -0 5 8 9 9 9 10 15 21 25 24 18 14 12 10 9 8 8 8 9 9 9 9 8 8 8 9 9 10 11 11 11 10 10 10 10 10 11 11 9 4 1 1 3 7 11 14 13 12 10 9 8 8 8 9 9 9 10 10 10 10 10 8 6 3 -0 -1 1 2 4 6 7 8 9 10 10 9 8 8 7 6 6 8 10 11 11 11 11 11 11 12 11 10 10 11 11 12 13 13 14 13 11 10 9 8 6 4 3 3 4 5 6 6 7 7 8 9 8 8 8 8 8 9 9 9 9 10 11 11 13 14 14 13 12 11 11 11 11 11 11 11 10 9 8 5 -0 -6 -8 -7 -4 1 5 7 8 8 8 9 9 10 nan
nan 10 9 8 8 9 9 10 10 10 11 11 10 10 9 8 8 9 9 9 9 7 2 -5 -8 -7 -4 1 6 8 9 9 9 9 13 19 24 24 20 16 12 10 8 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 7 2 -5 -7 -3 3 9 14 14 13 13 13 12 11 11 11 11 10 11 12 12 12 12 11 10 9 7 5 4 3 3 4 5 6 8 9 9 8 6 6 6 6 6 7 9 10 10 8 7 8 9 10 10 8 8 9 10 11 12 14 14 13 11 9 7 6 5 4 4 4 6 8 9 8 8 8 8 9 9 8 7 8 7 8 9 10 10 11 11 11 12 13 13 13 12 11 10 11 11 11 11 11 10 10 10 9 5 0 -3 -2 -0 3 6 8 8 9 9 9 10 10 10 nan
nan 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 10 10 10 7 2 -4 -6 -6 -3 2 6 8 9 9 9 9 11 17 22 24 22 17 12 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 9 9 9 5 0 -3 -0 6 12 17 17 14 13 13 14 14 14 14 14 14 14 15 15 16 16 17 17 16 14 12 11 9 8 7 6 6 6 8 9 9 7 7 6 6 6 6 7 8 7 6 6 7 9 10 10 9 8 9 10 10 10 11 11 10 9 8 8 8 8 7 7 8 10 12 13 12 11 11 10 9 8 7 7 7 8 8 9 10 11 11 11 12 12 12 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 10 10 11 11 12 12 11 10 10 10 10 10 10 10 10 nan
nan 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 10 10 10 8 4 -1 -4 -4 -2 2 6 8 9 10 9 9 10 14 19 24 23 17 13 10 8 8 8 9 10 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 8 6 4 7 12 17 20 20 16 13 12 12 13 13 15 17 18 19 20 21 22 22 23 24 24 22 18 15 13 13 12 12 12 11 10 9 9 8 9 9 9 9 8 8 8 7 7 7 8 11 13 14 13 12 12 13 13 12 11 9 7 6 6 8 10 10 10 9 9 10 10 11 12 11 11 10 8 7 6 6 7 8 9 10 11 11 11 11 11 11 11 12 12 12 12 12 11 10 10 9 9 9 10 10 11 11 12 15 19 21 20 17 14 11 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 9 5 -0 -4 -4 -2 3 7 9 9 10 9 9 10 12 17 23 24 19 15 11 8 8 8 9 10 10 9 9 9 8 8 8 8 8 7 7 7 7 8 7 7 8 7 7 8 12 16 18 18 15 12 11 10 10 10 11 14 16 17 19 21 22 23 24 25 26 24 22 19 18 17 18 19 20 20 19 17 15 13 12 13 13 13 12 10 9 8 8 8 9 12 14 15 15 14 13 14 15 15 13 10 8 5 5 7 10 11 11 9 8 8 8 8 8 8 9 8 7 6 5 6 7 9 10 11 12 12 12 12 11 11 11 11 11 11 12 12 11 11 10 9 8 9 9 10 10 11 11 13 16 18 18 15 11 9 8 8 9 9 9 9 10 10 10 nan
nan 8 9 10 10 11 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 9 5 -1 -5 -5 -2 3 7 9 10 10 9 9 9 10 17 25 26 23 17 12 9 9 9 9 9 10 10 9 8 7 7 8 8 8 7 7 8 8 8 7 7 7 7 8 9 11 12 12 10 9 8 8 8 8 8 9 9 10 11 13 15 16 17 17 18 18 18 18 19 21 22 23 25 27 27 25 23 21 21 21 20 18 15 12 10 8 7 8 9 11 12 13 13 12 12 12 13 13 12 10 8 6 5 7 9 10 10 8 6 7 8 8 8 7 7 7 7 6 7 8 9 11 12 13 13 13 13 13 12 11 10 10 10 10 10 11 11 10 10 9 9 9 9 10 10 11 11 12 13 14 12 9 6 4 4 7 8 9 9 9 10 10 10 11 nan
nan 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 3 -3 -5 -4 -1 4 8 10 10 10 9 9 9 11 19 27 28 25 18 11 9 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 7 6 4 3 3 4 5 6 6 6 7 8 10 11 12 12 12 13 13 14 15 17 19 21 23 25 26 26 24 23 23 24 24 22 17 13 10 8 8 8 10 12 12 12 12 11 10 10 10 11 9 7 6 5 5 7 9 10 10 8 7 7 8 9 10 10 10 9 9 8 9 11 13 14 14 13 13 14 14 13 12 11 10 9 9 8 8 9 9 9 10 10 9 9 10 10 10 11 10 11 11 12 11 9 8 7 6 8 9 9 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 9 9 10 7 2 -2 -4 -4 -0 4 8 9 10 10 10 9 10 14 23 29 29 25 16 10 9 9 10 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 8 7 3 -2 -4 -3 -1 2 4 5 6 8 10 11 12 12 12 13 13 13 14 13 13 14 15 17 19 19 17 16 15 16 17 17 14 11 9 8 8 9 11 12 13 13 13 11 9 8 7 7 6 5 4 5 6 7 9 11 12 12 10 10 11 12 12 12 12 12 13 13 14 15 16 17 16 15 14 13 13 12 12 11 11 10 9 8 7 7 8 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 11 12 14 14 14 12 11 11 11 11 11 11 11 11 nan
nan 10 9 9 9 8 8 8 8 9 9 10 10 10 10 9 9 8 8 9 9 5 -0 -3 -5 -4 0 5 8 9 10 10 10 10 12 18 27 31 29 22 14 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 6 -0 -6 -7 -7 -3 1 3 6 8 11 13 14 14 13 13 14 14 14 13 12 11 12 13 15 14 11 7 5 4 6 7 7 7 6 7 8 9 11 13 13 12 10 8 6 3 2 2 3 2 3 4 6 8 9 12 13 15 15 15 15 15 15 15 15 15 15 16 16 17 17 16 16 15 14 13 12 11 11 11 11 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 13 16 17 19 17 15 12 12 12 12 12 11 11 11 nan
nan 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 9 8 8 9 8 4 -1 -4 -5 -3 1 4 7 9 10 10 10 11 16 24 30 30 25 18 12 11 10 10 10 9 9 9 9 9 10 10 10 9 8 8 8 9 9 9 8 8 8 8 9 9 9 9 8 4 -2 -6 -7 -6 -3 2 5 9 13 14 15 15 15 14 14 14 14 13 12 12 12 13 14 13 8 3 -1 -4 -2 1 2 3 3 4 4 5 7 9 10 8 5 1 -2 -5 -6 -5 -3 -2 -2 1 3 6 9 11 14 16 17 17 18 18 18 17 17 17 16 16 16 15 14 13 12 12 12 12 12 11 11 11 11 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 12 14 16 19 19 16 15 13 12 12 12 12 12 11 nan
nan 11 10 9 9 8 8 9 9 9 9 10 10 10 9 9 8 8 8 9 8 6 2 -1 -2 -1 2 4 6 9 10 10 11 14 20 28 30 26 19 14 12 12 12 11 10 9 9 8 8 9 10 10 10 9 9 9 9 10 10 10 9 8 8 9 9 9 9 9 7 1 -3 -5 -6 -4 1 6 10 14 16 16 16 16 15 14 14 13 13 12 12 12 13 15 15 10 5 0 -3 -2 1 2 3 3 3 2 2 3 4 5 3 -0 -4 -7 -8 -8 -6 -4 -2 -3 -3 -1 1 4 7 10 12 13 15 16 16 17 16 16 15 15 15 14 13 11 10 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 10 10 11 12 15 18 20 19 17 15 13 13 13 12 12 12 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 8 8 8 7 5 1 -0 0 1 3 6 8 10 10 12 15 22 29 27 21 15 13 12 12 12 12 11 10 10 9 9 11 11 11 10 10 10 10 10 10 10 9 8 8 8 8 8 9 9 9 5 -0 -4 -5 -4 0 5 9 14 18 19 18 17 16 15 14 13 12 12 11 12 13 14 15 14 10 8 6 6 8 8 8 7 7 6 6 6 6 6 4 -0 -3 -5 -4 -3 -0 2 4 4 4 3 3 4 5 5 5 6 8 12 15 15 14 13 12 11 11 11 10 10 9 9 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 10 11 11 11 11 10 10 10 10 10 11 11 12 15 18 19 20 19 17 15 14 14 13 13 12 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 9 9 9 8 8 7 8 9 8 6 2 -0 -0 1 2 5 8 10 11 12 16 24 28 25 19 15 12 12 12 12 12 11 11 10 10 11 12 12 11 10 10 11 11 11 9 5 3 2 3 4 6 8 9 9 8 3 -1 -5 -5 -2 3 7 11 16 22 23 21 18 16 13 12 12 11 11 12 13 14 14 14 13 12 12 12 12 12 12 12 11 12 12 12 11 11 9 6 4 2 2 4 6 8 9 10 10 10 10 10 9 8 6 5 6 11 16 17 15 12 10 10 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 12 12 12 12 12 12 11 11 11 11 11 11 11 12 11 11 10 10 10 11 11 11 12 12 13 15 16 18 20 20 18 17 16 15 14 14 13 nan
nan 10 10 10 10 10 10 10 10 9 10 10 10 10 9 9 9 8 8 8 9 8 6 3 1 -0 0 1 4 7 9 10 12 16 24 27 24 20 15 12 11 11 11 10 10 10 10 11 12 13 12 10 9 9 11 11 9 4 -2 -5 -5 -3 1 6 8 10 10 7 2 -3 -6 -4 1 5 9 13 20 26 26 23 19 15 13 12 12 12 12 13 13 12 12 11 11 12 12 12 12 12 13 14 15 16 16 15 13 12 10 9 8 8 9 9 10 11 11 12 13 14 15 14 12 10 9 10 14 19 21 19 13 10 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 12 13 13 12 12 11 11 11 10 11 11 12 12 12 11 11 10 10 11 12 12 13 14 14 14 14 14 16 19 21 20 20 20 20 19 18 16 nan
nan 10 10 10 10 10 10 10 10 10 10 11 10 10 10 9 9 9 8 8 8 8 7 4 2 -0 -0 0 3 7 9 10 11 15 23 25 24 20 15 12 11 11 10 10 9 10 10 11 12 12 12 10 9 9 10 10 9 4 -2 -4 -4 -2 3 8 9 10 9 4 -2 -6 -7 -2 3 7 11 16 23 28 26 22 18 14 13 13 13 12 12 12 12 11 10 10 11 11 10 9 10 11 12 14 16 17 17 15 14 14 14 14 13 12 12 12 13 14 15 17 20 21 19 16 13 11 11 14 17 20 19 15 11 9 8 8 9 11 11 11 10 10 9 10 9 9 10 10 10 10 11 11 12 13 13 12 12 11 11 10 10 10 11 11 11 11 11 10 10 11 11 12 13 14 14 14 14 14 13 13 14 17 19 23 26 28 28 26 24 21 nan
nan 10 9 9 9 9 10 10 10 10 10 10 11 11 10 10 9 9 9 8 8 8 7 6 2 0 -1 -0 2 6 8 10 10 14 20 23 24 22 16 12 12 11 10 9 9 10 10 11 11 11 11 10 10 10 11 11 11 8 6 4 3 4 7 8 7 5 3 -2 -7 -9 -5 2 7 10 13 18 24 26 24 21 16 13 13 13 13 12 12 11 11 10 10 11 11 10 9 8 8 9 11 12 14 15 14 14 16 17 17 17 16 16 16 17 19 22 24 26 27 26 21 15 12 11 12 14 17 19 18 15 12 10 9 10 12 12 11 10 10 9 10 10 10 10 11 10 10 10 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 12 12 13 13 14 13 13 12 12 12 14 17 22 27 30 30 29 28 28 nan
nan 10 9 8 8 9 10 10 9 9 10 10 11 12 11 10 10 9 9 8 8 8 8 6 3 0 -1 -1 1 5 8 9 10 12 17 22 26 23 17 14 12 10 10 10 10 11 10 10 10 10 11 12 12 11 11 12 13 13 13 12 9 7 7 5 2 -0 -4 -8 -9 -6 1 6 10 12 14 18 23 24 22 18 14 13 13 13 12 12 11 10 10 10 10 11 11 10 10 9 9 9 9 10 10 10 10 11 13 15 16 16 16 17 18 21 24 27 27 27 26 23 17 13 11 12 13 16 21 23 23 19 15 13 13 13 13 12 11 9 9 9 10 10 11 10 10 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 9 10 11 11 11 11 12 12 12 11 11 11 11 11 14 17 20 21 22 24 26 28 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
73 72 71 76 91 113 135 148 136 112 93 75 53 30 12 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 6 12 17 43 50 28 15 11 11 14 17 20 25 32 37 43 50 60 71 83 97 108 129 142 154 164 169 164 147 142 139 141 149 152 153 156 161 163 166 175 185 196 201 202 211 226 236 234 233 270 289 272 261 284 348 426 427 363 291 288 390 476 464 478 493 529 572 607 618 564 455 397 368 353 446 614 774 956 1182 1276 1285 1242 1207 1154 1132 1284 1325 1309 1267 1168 1026 923 941 1106 1261 1197 1060
88 88 93 103 119 139 155 146 119 88 63 41 20 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 11 25 45 23 6 1 1 2 2 4 6 10 14 18 22 27 30 35 46 56 64 70 74 80 86 96 92 94 105 118 132 145 156 169 179 183 189 200 208 213 215 209 205 209 208 199 203 222 233 223 200 214 214 260 290 291 315 425 581 512 413 364 357 382 469 608 669 670 617 567 474 346 241 219 284 435 673 866 1062 1176 1201 1167 1156 1229 1238 1246 1195 1065 930 853 863 1062 1231 1242 1172
102 106 114 124 134 144 142 122 92 61 36 17 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 14 31 33 13 1 0 0 0 0 0 0 1 2 3 4 5 5 6 6 12 17 20 23 29 37 50 56 64 72 84 102 122 138 156 175 182 185 192 198 198 197 192 190 192 178 170 174 184 189 193 172 174 176 190 204 211 245 309 415 417 390 341 292 294 365 445 467 524 591 604 531 392 261 172 147 170 233 311 477 748 947 1103 1241 1287 1245 1176 1089 980 941 885 930 1059 1189 1270 1300
115 118 124 130 132 129 109 82 53 29 13 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 9 28 16 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 5 11 17 21 27 35 48 67 84 98 109 121 130 137 144 149 152 153 155 157 159 153 149 154 158 166 182 186 176 173 179 182 177 189 193 201 233 259 262 251 248 238 195 201 267 344 373 349 314 291 228 186 160 143 138 160 299 512 734 959 1141 1223 1151 1077 1013 1002 900 838 904 1024 1145 1290
125 132 137 133 115 92 62 32 14 6 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 3 2 4 12 22 36 45 53 58 65 71 78 86 94 102 105 110 115 119 119 120 130 136 140 151 162 166 167 168 161 154 157 163 160 163 179 193 187 172 157 149 149 162 183 194 187 188 195 192 183 181 185 178 149 151 197 282 412 558 688 810 884 919 972 961 915 866 877 1043 1239
128 134 130 109 72 42 21 6 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 7 13 16 20 23 27 32 37 41 49 58 64 69 73 77 82 83 92 97 99 102 106 111 119 124 120 119 119 124 128 129 132 136 132 130 122 117 118 121 124 124 110 102 101 105 116 137 161 178 174 148 120 107 124 160 178 245 441 605 756 901 996 973 936 1062 1160
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