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 10 9 8 7 7 8 8 8 8 9 9 8 8 7 6 6 5 6 6 7 7 8 8 9 9 9 9 9 9 8 7 7 7 7 6 6 6 5 4 5 7 8 8 8 7 6 5 4 3 4 6 8 8 8 7 7 7 7 7 7 8 8 9 9 8 7 7 8 8 9 10 10 10 9 8 8 8 8 7 4 1 -0 2 4 6 6 5 6 7 8 9 10 11 10 9 8 9 10 11 14 16 19 19 16 11 8 5 4 3 3 3 3 3 3 4 4 5 5 6 6 6 6 6 5 5 4 5 5 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 2 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 3 3 4 5 nan
nan 10 9 7 6 6 8 9 9 8 8 8 8 8 7 6 5 5 6 6 7 7 7 7 7 8 9 10 11 10 9 8 7 7 6 6 7 7 6 5 5 7 8 8 8 8 7 6 5 3 2 4 6 7 7 7 7 7 7 7 7 8 8 9 9 8 8 8 7 7 8 9 10 9 9 8 8 8 8 7 5 2 -1 -0 3 5 6 6 6 6 7 7 8 9 10 10 9 9 9 10 11 13 16 17 16 12 9 6 4 3 2 2 3 3 3 3 4 4 4 5 5 6 7 7 7 7 6 6 6 5 5 5 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 1 1 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 3 3 nan
nan 9 9 7 6 6 8 9 9 9 8 9 9 8 7 6 5 5 6 6 7 7 8 7 6 6 8 9 11 12 11 10 8 7 7 7 7 8 7 5 5 7 7 7 7 7 7 7 6 4 3 4 5 6 6 6 7 7 7 7 7 7 8 9 9 9 9 9 8 7 7 8 9 9 9 8 8 8 8 8 7 4 1 -1 0 3 5 6 6 6 6 6 7 8 8 9 10 10 10 9 9 10 12 13 13 12 10 8 5 4 3 3 3 3 3 3 3 3 4 4 5 6 7 8 9 9 9 7 6 6 5 5 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 1 1 1 2 2 2 2 2 3 3 3 3 3 3 3 2 2 2 2 2 2 2 2 2 1 1 0 0 0 0 0 0 0 0 1 1 2 2 nan
nan 9 9 7 6 7 8 9 9 9 8 8 9 9 9 7 6 6 6 7 7 8 8 8 6 5 6 7 9 11 12 11 10 9 8 9 9 8 7 6 6 7 7 7 7 7 7 7 6 5 4 4 5 5 6 6 6 6 7 8 8 8 8 9 9 9 10 9 7 6 6 7 8 9 8 8 8 8 8 8 8 6 3 0 -1 1 3 5 6 6 6 6 7 7 7 8 9 9 9 9 8 9 9 10 10 11 11 10 8 7 5 4 3 3 3 4 4 4 4 4 5 5 6 8 10 11 11 9 7 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 2 2 2 2 2 2 2 2 2 3 3 3 3 3 3 4 4 4 3 3 3 3 3 2 2 1 1 0 0 0 0 0 0 0 -0 0 1 1 1 nan
nan 9 9 7 6 6 8 9 8 8 8 8 8 9 9 8 8 8 8 8 8 7 8 8 8 7 6 6 7 9 11 11 11 10 10 10 10 9 8 7 7 7 6 6 7 7 7 7 7 6 6 6 6 6 5 5 4 5 7 8 8 8 8 9 9 9 9 9 7 6 6 7 8 8 8 8 8 8 8 7 7 7 6 3 0 -1 -0 2 4 5 5 6 6 6 6 7 8 8 9 9 8 8 8 8 9 10 10 10 10 9 7 6 4 4 3 3 4 4 5 5 5 5 6 7 9 10 11 10 8 7 6 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 2 2 2 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 2 2 1 1 1 1 1 1 1 1 1 1 1 1 1 nan
nan 9 9 7 6 6 8 9 8 7 7 8 9 9 8 8 8 9 9 9 8 7 7 8 9 9 9 8 7 7 8 9 9 9 9 9 9 8 8 8 8 7 7 6 5 6 7 8 8 7 6 6 7 7 6 4 3 5 6 8 8 8 8 8 8 9 9 9 7 6 6 7 8 8 8 8 8 8 8 8 7 8 7 5 3 0 -2 -2 0 3 4 5 5 6 6 6 7 7 8 8 8 8 7 7 8 9 10 10 10 10 9 8 6 4 3 3 3 4 5 6 6 6 6 7 7 8 9 9 9 8 8 7 6 5 4 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 3 3 4 4 4 4 4 3 3 3 3 3 2 2 2 2 2 2 2 2 2 2 2 2 2 1 1 nan
nan 9 9 8 6 6 7 8 7 6 6 8 9 9 7 7 7 8 9 9 8 8 7 7 9 10 11 11 9 8 7 7 7 6 6 7 8 8 7 7 8 9 8 6 5 5 6 8 9 8 6 5 6 7 6 4 4 5 6 8 8 7 7 7 8 9 9 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 7 5 3 0 -2 -2 -0 1 3 4 4 5 6 6 7 7 7 8 7 7 7 8 8 9 9 10 10 10 9 7 5 3 2 3 4 6 7 8 8 8 7 7 7 7 8 9 10 11 11 10 8 6 4 3 3 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 4 4 4 4 4 3 3 3 2 3 3 3 3 3 2 2 2 2 2 2 3 3 3 3 3 3 3 nan
nan 8 8 9 8 7 7 7 6 5 6 7 9 9 7 7 7 7 8 8 8 8 7 7 8 9 11 12 11 10 9 8 7 6 5 5 6 8 8 7 7 8 8 7 5 5 6 7 8 8 6 5 5 5 5 5 5 5 7 8 9 7 6 7 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 7 7 6 4 1 -1 -1 -1 -0 1 2 4 5 6 6 7 7 7 7 7 7 7 7 8 8 9 9 10 9 8 6 4 4 4 5 6 8 8 9 9 10 10 9 8 8 8 10 12 14 14 13 9 7 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 3 3 3 3 3 3 3 3 3 2 2 2 2 2 2 3 3 3 4 4 5 nan
nan 8 8 8 8 7 7 7 6 6 7 8 9 9 8 8 7 6 7 7 9 9 8 8 8 8 9 10 10 9 9 8 8 7 7 6 7 8 8 8 7 8 8 7 7 7 7 7 7 7 6 5 4 4 4 6 6 6 7 9 9 8 7 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 6 5 3 2 0 -1 -1 -0 2 4 5 5 6 6 6 6 6 6 6 7 7 8 8 8 9 9 8 7 6 6 6 6 7 7 7 8 9 11 13 13 12 10 9 9 11 13 14 14 12 10 8 6 5 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 4 5 5 5 5 4 4 4 4 4 4 4 4 3 3 3 2 2 2 2 3 3 4 4 5 5 6 nan
nan 10 9 9 8 7 7 6 6 6 7 8 8 8 9 9 8 6 6 8 10 10 9 9 9 9 9 9 9 8 7 6 7 8 9 9 8 8 8 9 9 8 7 7 7 8 8 7 7 6 6 5 4 4 4 5 5 6 8 9 9 8 8 8 7 6 6 6 7 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 4 3 0 -0 1 3 4 5 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 7 7 7 8 8 7 6 6 7 10 13 15 15 13 11 10 9 10 11 11 11 11 10 9 7 5 4 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 4 4 4 5 5 5 6 6 5 5 5 5 5 5 5 5 4 4 4 4 4 4 5 5 6 6 6 6 7 7 nan
nan 10 9 9 8 7 7 6 6 6 7 7 8 8 9 9 8 7 7 9 10 10 9 9 10 9 9 8 8 7 6 5 5 7 9 10 9 8 8 9 9 8 7 6 7 7 8 7 7 7 6 5 4 5 5 5 5 6 7 8 8 9 9 8 7 7 6 5 6 7 7 7 7 7 8 9 9 8 8 8 7 7 8 8 8 8 8 8 8 8 7 6 4 2 1 2 3 5 5 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 8 7 5 5 6 9 13 15 16 14 12 10 10 9 9 10 11 11 10 9 7 5 4 3 3 3 4 4 4 4 4 4 4 4 4 5 5 5 5 5 5 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 8 9 nan
nan 10 9 9 8 7 7 6 6 7 7 7 7 8 8 9 8 7 7 9 10 10 9 9 10 9 8 8 8 8 7 5 5 6 8 9 9 8 8 9 9 9 8 6 6 6 7 7 7 7 5 4 4 6 6 5 5 6 6 6 8 10 9 8 7 7 6 6 7 7 7 6 6 8 9 10 9 9 8 8 7 7 8 8 8 8 8 8 8 8 7 7 7 5 4 3 3 4 5 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 8 9 8 7 5 4 6 10 14 17 16 15 14 13 12 10 10 9 10 10 9 7 6 4 4 3 3 4 4 4 5 5 4 4 4 5 5 5 5 6 6 6 7 7 7 8 7 7 7 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 10 10 10 11 nan
nan 9 9 9 8 7 7 7 7 7 7 6 7 8 8 9 8 7 7 8 9 9 8 9 9 9 8 7 7 8 8 8 7 6 6 7 7 7 7 8 9 10 9 8 7 7 7 7 7 7 5 3 5 6 6 6 6 6 6 6 8 9 9 8 7 7 6 7 7 6 5 5 6 8 10 10 10 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 8 7 6 4 3 4 5 6 6 6 6 6 7 7 7 7 6 6 6 6 7 7 7 7 7 8 8 9 9 8 7 6 6 8 12 14 15 16 16 16 16 14 12 9 9 9 8 8 7 5 5 4 4 5 5 5 5 5 5 5 5 5 5 5 6 6 6 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 12 nan
nan 9 8 8 7 7 7 7 7 7 7 6 6 7 8 8 8 8 8 8 7 7 7 8 8 8 7 7 7 7 8 10 10 9 7 6 6 7 7 8 8 9 10 9 8 8 8 8 8 7 6 5 6 6 6 6 7 7 6 7 8 9 9 8 7 7 7 7 7 5 4 4 7 9 10 10 10 9 8 7 7 7 8 8 8 7 7 7 7 7 7 7 8 8 7 6 5 4 5 5 6 6 6 7 7 8 8 8 8 7 7 7 7 6 6 6 7 7 8 8 9 9 9 7 7 8 9 10 11 13 15 17 17 17 14 11 9 8 8 8 8 7 7 8 7 7 6 6 5 5 5 5 5 5 5 5 6 6 7 7 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 12 12 nan
nan 9 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 8 7 7 7 7 7 7 7 7 6 6 8 10 11 10 8 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 8 7 6 4 3 4 7 7 6 7 8 9 9 8 7 7 8 8 6 4 4 5 8 10 9 9 9 9 8 7 6 7 7 8 7 7 7 7 8 8 8 7 7 7 7 8 7 6 5 5 5 7 7 8 8 8 9 9 9 9 8 8 7 7 6 6 6 6 7 7 8 9 9 9 8 8 7 7 7 9 11 14 16 17 15 12 10 8 8 9 10 12 13 13 13 11 9 7 6 5 5 5 5 5 5 5 6 6 6 7 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 nan
nan 9 9 7 6 7 7 7 7 7 7 7 7 7 7 7 8 10 10 9 8 7 7 6 7 7 7 6 6 6 7 8 10 10 9 8 8 7 7 7 7 7 7 9 10 11 10 9 9 10 10 9 6 3 2 4 6 6 5 7 8 9 9 8 7 8 9 8 6 4 5 8 11 11 10 9 8 8 8 7 6 7 7 7 7 6 6 7 8 8 8 7 7 7 7 8 8 8 7 5 5 7 8 9 9 9 10 10 10 10 10 9 9 8 7 6 5 5 5 6 7 8 8 9 9 8 7 6 5 6 8 11 14 16 15 12 10 8 8 10 14 18 21 22 21 18 14 9 7 6 5 5 5 5 5 6 6 6 6 7 8 8 9 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 10 9 8 7 6 7 7 7 7 7 7 7 7 7 8 9 10 9 8 8 8 7 7 7 7 6 6 6 7 8 8 9 10 10 9 8 8 7 7 7 7 7 8 10 11 10 9 9 10 10 8 6 4 3 5 6 6 6 8 9 9 9 8 8 9 9 7 6 6 8 11 12 11 10 9 9 8 7 7 7 7 7 7 7 6 6 6 7 8 8 7 7 7 8 8 8 8 7 6 5 6 8 9 9 9 9 10 10 9 10 10 9 8 7 6 6 5 4 5 5 6 7 8 8 8 7 6 6 6 7 9 12 13 12 11 9 7 7 10 15 22 28 31 31 27 20 13 9 6 5 5 5 5 5 6 6 6 6 7 7 8 9 9 9 9 9 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 9 10 10 9 nan
nan 10 10 9 7 6 6 7 7 7 7 7 7 7 7 8 10 9 9 8 8 8 8 7 7 7 6 5 6 8 8 8 8 9 9 9 8 8 8 7 7 7 7 8 9 10 9 9 9 9 8 7 5 5 5 6 6 6 7 9 10 10 9 9 9 9 9 8 8 9 10 11 11 10 9 9 9 8 8 7 7 7 7 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 5 5 7 9 8 8 8 8 8 8 8 9 8 8 8 7 6 6 5 4 4 5 6 7 7 7 7 7 7 7 7 8 9 10 10 9 7 6 6 8 12 20 29 36 38 34 27 18 12 8 6 5 5 5 5 6 6 6 6 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 9 9 8 8 nan
nan 10 10 9 8 7 7 7 7 7 7 7 7 7 7 9 9 9 8 8 8 8 8 8 8 7 6 5 6 7 8 8 8 9 9 9 8 8 8 8 7 7 8 8 9 9 9 9 9 9 7 5 4 4 5 6 5 5 7 8 9 10 10 10 10 10 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 8 7 7 7 6 6 7 7 8 8 8 8 8 8 7 6 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 6 6 5 5 5 6 6 6 7 7 7 7 7 8 8 8 8 7 6 5 4 5 8 15 24 33 39 38 31 23 15 10 7 6 5 5 5 5 6 6 6 7 7 8 8 8 9 9 9 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 7 nan
nan 9 10 10 9 8 8 7 7 6 6 6 7 7 8 9 9 9 8 8 8 8 8 8 8 8 7 6 6 7 7 7 7 8 9 9 8 8 8 8 8 8 8 9 9 8 8 9 9 9 7 5 3 3 5 6 5 4 5 7 8 10 10 9 9 9 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 7 5 5 5 5 6 7 7 7 7 8 8 7 6 6 6 6 6 6 6 6 7 7 7 7 7 8 8 7 6 5 4 3 4 8 15 25 34 38 34 27 20 13 8 6 5 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 7 nan
nan 9 9 9 9 9 8 8 7 6 6 6 6 7 8 10 10 9 8 7 7 8 8 8 8 7 7 7 7 8 7 6 6 8 8 9 9 9 8 8 8 8 8 9 9 8 9 9 9 8 7 5 4 5 7 7 7 6 7 8 9 10 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 8 9 9 9 8 8 10 10 9 8 7 8 8 6 5 4 3 4 5 6 7 7 7 8 8 8 8 7 7 7 7 6 6 6 7 7 7 7 7 7 8 7 7 6 5 4 3 4 9 17 28 34 35 32 25 16 9 7 6 5 5 5 6 6 6 6 7 7 8 8 8 8 8 8 8 9 9 9 10 9 9 9 8 8 8 8 8 8 8 7 7 6 nan
nan 9 9 9 9 8 8 8 8 7 7 6 5 6 8 11 11 9 8 7 7 7 8 8 7 7 7 7 7 8 7 7 6 6 8 9 10 10 9 9 8 8 9 9 9 9 10 10 9 8 7 5 6 8 9 10 10 10 9 10 10 9 9 8 8 8 7 7 7 8 8 8 7 7 7 8 8 8 8 9 9 9 9 9 9 8 7 7 7 7 7 7 7 7 8 9 9 8 8 8 9 10 9 9 9 9 8 7 5 4 2 3 5 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 7 8 7 7 6 6 5 4 5 11 19 27 32 34 29 20 14 10 7 6 6 6 5 6 6 6 7 7 8 8 7 7 7 8 8 8 9 9 10 10 9 9 8 8 8 8 8 7 7 7 7 6 nan
nan 8 8 9 9 8 8 8 8 7 7 6 5 5 6 10 11 10 9 8 7 7 7 7 7 7 7 6 5 6 7 8 7 7 8 9 10 10 10 10 9 10 11 10 9 9 9 9 9 9 8 7 8 10 11 12 12 12 11 10 9 8 8 8 7 7 7 7 7 8 8 8 7 7 7 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 8 8 8 9 9 9 10 10 9 9 8 7 4 3 3 5 7 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 8 7 7 7 7 6 5 4 6 11 17 26 31 30 25 20 14 10 7 6 6 6 6 6 6 7 7 8 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 8 8 7 7 7 7 6 6 nan
nan 7 8 9 9 8 8 8 7 7 7 7 6 4 5 8 10 10 9 8 8 8 7 7 7 8 8 6 4 3 5 7 8 8 9 9 9 9 9 10 11 11 12 11 10 9 8 8 8 9 9 9 10 11 12 12 12 11 10 9 9 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 10 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 10 10 9 9 9 8 6 5 5 6 7 9 10 10 10 9 9 8 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 7 7 8 7 5 5 5 9 16 22 25 26 24 19 13 9 8 7 6 6 6 7 7 7 7 7 7 7 7 7 8 8 9 9 10 10 9 9 8 8 8 7 7 7 7 6 6 6 nan
nan 7 7 8 9 9 8 8 7 7 7 7 7 5 5 6 8 8 8 7 7 7 7 7 7 8 8 7 4 3 4 6 7 8 9 10 9 8 8 9 10 11 11 10 9 9 8 8 8 8 9 9 10 11 11 11 10 10 10 9 9 10 10 9 9 9 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 10 9 9 9 8 8 8 7 7 7 8 10 11 11 11 10 10 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 6 5 5 8 12 18 22 25 23 19 15 11 9 7 6 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 8 7 7 6 6 6 6 6 6 5 nan
nan 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 7 6 6 7 7 6 7 7 7 7 6 5 5 6 7 9 10 10 9 8 7 8 9 10 11 10 8 8 8 8 8 8 9 9 11 11 11 10 9 9 9 10 11 12 13 13 13 13 12 11 11 10 10 10 10 10 9 8 8 8 8 8 9 9 9 10 10 10 9 9 8 9 9 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 7 7 8 9 11 12 12 12 12 11 11 11 10 10 10 9 9 10 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 5 5 6 10 16 22 24 24 21 17 12 10 8 7 7 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 7 6 6 6 6 6 6 5 5 nan
nan 8 8 9 9 9 9 9 8 8 8 8 8 8 7 8 8 8 7 6 6 6 7 6 6 5 6 7 7 7 7 7 8 9 9 10 10 8 7 6 7 9 11 11 8 7 7 8 8 9 9 10 11 11 10 9 8 8 10 11 13 14 15 15 14 14 13 13 12 12 12 11 11 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 10 11 11 11 10 10 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 8 9 11 12 13 14 14 13 13 12 10 9 9 8 9 9 9 9 9 9 8 8 7 7 7 8 8 8 9 8 7 6 5 6 10 16 21 25 25 22 18 13 10 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 7 6 6 6 5 5 5 5 4 nan
nan 9 9 9 9 9 10 10 9 8 8 8 8 7 7 8 8 9 8 7 6 6 7 6 5 4 5 6 7 7 8 8 8 8 8 10 11 10 8 7 7 9 11 10 9 8 8 8 9 9 9 9 10 9 9 8 7 8 10 12 14 15 15 15 13 12 12 12 13 13 12 12 11 11 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 9 10 11 11 11 10 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 10 13 15 15 14 13 11 9 8 8 8 8 8 8 8 9 9 9 8 8 7 7 7 7 8 8 8 8 8 7 6 6 10 16 23 26 25 22 17 12 10 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 7 6 6 5 5 4 4 4 4 nan
nan 10 9 9 9 9 10 10 10 9 9 8 8 7 7 7 8 8 8 8 7 6 6 6 5 5 5 5 6 7 7 8 8 8 9 11 11 10 9 8 8 9 10 9 9 8 8 9 9 8 8 8 9 8 8 7 8 10 11 13 14 15 14 13 12 11 12 12 13 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 10 10 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 9 11 13 13 12 9 7 7 8 9 9 9 9 9 8 9 9 9 9 8 8 7 7 7 7 7 7 8 9 9 8 6 7 11 17 22 26 24 19 14 12 10 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 nan
nan 11 10 9 10 10 9 9 9 10 10 9 8 7 7 7 8 8 8 8 7 7 6 6 6 6 5 5 5 6 7 8 8 8 10 11 11 10 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 8 8 8 9 11 12 12 12 12 11 10 11 12 13 13 12 11 9 10 10 11 12 12 12 12 12 11 11 11 11 10 9 8 8 8 8 8 9 9 9 8 8 7 6 6 6 7 7 8 8 8 8 7 8 8 8 9 9 9 9 9 8 8 8 8 9 9 10 9 7 3 2 5 9 11 11 11 11 11 10 10 10 10 10 9 9 9 8 8 7 7 7 7 9 11 10 8 7 8 12 18 23 23 21 17 14 11 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 5 4 4 4 5 5 nan
nan 11 10 10 9 9 9 9 10 10 10 9 8 8 8 8 8 8 9 8 7 7 7 6 6 6 6 5 5 6 7 7 7 8 9 10 10 10 10 10 9 9 9 9 9 8 8 7 7 6 7 8 8 8 8 9 10 12 12 11 9 8 8 9 11 13 13 12 10 8 6 7 8 10 11 11 11 12 11 11 11 11 11 10 9 8 8 8 8 9 9 10 9 9 8 7 7 6 6 7 7 8 8 8 8 7 7 8 8 8 8 9 9 9 9 8 8 8 8 8 8 6 3 -1 0 6 10 12 13 13 13 13 12 11 11 11 11 11 11 10 10 9 8 7 6 7 8 10 12 11 9 8 9 13 18 21 21 20 17 12 10 8 7 7 7 7 6 6 7 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 5 6 nan
nan 11 11 9 9 8 9 9 10 10 10 9 9 8 8 8 7 8 9 8 8 7 7 6 6 6 6 6 6 6 6 7 7 8 8 9 10 10 10 10 10 10 10 9 9 9 8 7 6 7 7 8 9 9 9 10 11 11 11 9 8 8 7 9 10 12 12 10 7 5 4 5 6 8 8 9 10 11 10 10 10 10 9 9 9 8 8 8 8 9 10 10 10 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 10 9 9 8 8 8 8 7 4 0 -1 3 8 11 13 13 13 13 13 13 13 12 12 12 12 12 12 12 11 10 9 8 7 8 9 11 12 11 10 9 10 14 17 20 21 19 16 14 11 9 8 7 6 6 6 6 7 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 nan
nan 11 10 9 8 7 8 9 10 11 11 10 9 9 8 7 7 8 9 9 9 8 7 6 6 5 5 5 6 6 6 7 7 8 8 8 9 10 10 10 10 10 10 10 9 8 7 7 7 7 8 9 9 9 9 10 10 10 10 9 9 8 8 9 10 11 10 8 5 3 3 5 7 7 7 7 8 9 9 9 9 9 8 8 8 8 8 8 8 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 6 3 -1 0 6 10 11 11 11 12 12 13 13 13 13 12 12 12 13 13 13 12 12 11 10 9 8 9 10 11 12 12 11 10 11 13 18 21 21 20 19 16 12 10 8 7 6 6 6 6 6 6 7 7 7 7 6 6 6 5 5 5 5 6 6 7 nan
nan 10 10 8 7 7 7 8 9 10 11 12 11 9 8 8 7 8 9 10 9 8 8 7 7 6 5 6 6 6 6 7 7 7 8 9 10 10 9 9 10 11 11 10 9 8 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 6 4 3 5 7 9 8 7 7 7 7 7 7 8 8 7 7 7 8 8 8 8 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 10 9 9 8 6 3 1 4 10 12 10 8 8 10 11 11 11 12 12 12 12 12 12 13 13 13 13 12 11 11 10 10 10 10 11 12 12 12 11 11 14 17 19 22 22 20 17 14 12 9 7 6 6 6 6 6 7 7 7 7 7 6 6 5 5 5 5 6 7 7 nan
nan 9 9 8 7 7 7 7 8 9 11 12 12 10 9 9 9 9 9 10 10 9 8 8 8 7 7 6 6 6 7 7 7 6 7 8 9 9 8 9 11 12 12 10 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 7 5 4 4 7 9 10 10 8 7 7 7 6 6 7 8 8 7 7 7 7 8 9 9 10 9 9 8 7 6 6 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 9 10 10 10 9 8 7 6 6 9 11 11 8 6 6 7 8 9 9 10 10 11 11 11 11 12 12 12 12 12 12 12 12 11 10 10 10 11 12 14 12 11 12 13 16 20 23 23 22 20 17 13 10 8 7 7 6 6 6 7 8 8 7 7 6 5 5 5 6 6 7 7 nan
nan 8 8 8 7 7 7 6 7 7 9 11 11 11 11 11 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 8 7 7 7 8 8 8 7 8 11 12 12 10 8 9 10 11 11 10 9 9 10 10 10 10 9 9 8 7 7 7 7 7 6 6 5 4 3 4 7 9 10 10 7 7 7 7 6 7 7 8 8 7 6 6 7 8 9 9 9 9 9 8 7 6 7 8 8 7 6 6 7 7 8 8 8 8 8 8 8 8 8 8 8 9 10 10 9 9 8 8 9 10 10 9 7 6 5 4 5 6 7 8 9 9 10 10 10 10 10 11 11 11 11 11 12 12 11 10 10 10 12 14 13 12 11 11 13 16 20 22 24 24 22 19 15 12 9 8 7 7 6 7 8 8 8 7 6 5 5 5 6 6 7 7 nan
nan 7 8 8 8 7 7 7 6 6 6 8 9 10 11 11 11 11 11 10 10 9 9 8 7 7 7 7 8 9 9 8 7 7 8 7 8 8 8 8 9 10 10 10 9 10 11 12 11 10 9 10 10 10 10 11 11 10 9 8 8 7 7 6 4 3 3 2 2 3 6 9 9 8 6 6 7 7 7 7 8 9 8 7 6 6 7 8 9 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 8 9 10 10 9 8 8 7 4 2 1 2 5 8 8 9 9 9 9 9 9 9 8 8 8 9 9 10 11 11 10 9 10 11 12 12 12 10 11 12 15 19 23 25 25 24 21 18 14 11 9 8 7 7 7 8 8 7 6 5 5 5 6 6 6 7 nan
nan 7 7 7 7 7 7 7 7 6 6 6 7 8 9 10 11 12 12 11 10 9 9 8 8 7 6 6 7 8 9 9 8 8 8 7 8 8 8 7 7 7 8 9 10 11 11 10 10 9 9 10 10 10 11 12 12 11 10 10 10 9 8 6 5 4 2 1 2 4 6 8 8 7 6 6 7 8 8 8 9 9 8 7 6 6 7 8 8 8 8 9 9 8 8 9 9 9 8 7 7 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 9 9 9 8 8 9 9 9 8 8 8 7 3 -0 -3 -1 4 7 9 9 10 10 10 9 8 8 7 7 6 6 7 8 9 9 9 9 8 8 9 11 11 11 10 10 11 14 17 20 24 26 26 24 21 17 13 10 8 8 7 7 8 7 6 6 6 6 5 6 6 6 nan
nan 7 7 7 7 7 7 7 7 7 6 6 6 7 7 8 9 11 12 12 11 9 8 8 7 6 6 6 6 7 8 8 9 10 9 8 8 8 7 5 5 6 7 9 11 11 9 8 8 9 10 10 10 11 12 12 12 11 11 11 11 11 10 9 8 7 5 4 4 5 7 8 7 6 6 6 7 8 8 8 9 8 8 7 7 7 8 7 7 7 7 8 8 8 8 9 9 9 9 8 7 7 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 7 6 4 2 -2 -4 -1 4 7 9 10 10 10 10 10 9 9 8 7 7 6 6 6 7 8 8 8 8 7 7 9 10 10 10 10 9 9 10 14 18 23 26 28 27 23 18 14 12 10 8 7 8 7 7 7 6 5 5 6 6 6 nan
nan 7 7 7 7 7 7 6 7 7 7 7 6 6 6 6 7 8 10 12 12 10 8 7 6 6 6 6 7 7 6 7 9 10 10 9 8 7 6 5 5 6 7 8 10 10 8 7 8 9 10 10 11 11 11 11 11 11 12 12 11 11 11 10 10 10 9 7 6 6 7 7 7 6 6 6 6 6 6 7 8 8 7 6 7 8 8 8 7 7 7 8 8 8 8 8 8 8 9 8 7 7 7 8 7 7 7 7 7 7 7 6 6 7 7 7 8 8 8 7 7 7 7 7 7 6 4 3 1 -2 -1 2 5 7 8 9 9 10 10 10 11 11 10 10 10 9 8 7 7 7 7 8 8 8 7 8 8 9 10 9 9 8 7 8 12 16 20 25 28 27 24 21 18 13 10 8 8 7 7 7 6 6 6 6 6 6 nan
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nan 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 8 8 8 8 8 7 7 6 6 6 6 6 7 7 8 9 9 9 9 8 8 8 7 7 7 8 9 9 10 11 11 10 9 9 9 9 9 9 8 8 8 7 5 4 3 3 2 3 5 6 8 8 7 6 5 5 7 9 10 10 9 9 9 9 9 10 10 11 11 10 10 10 9 10 10 10 10 11 11 11 11 11 10 9 7 7 6 6 7 8 9 9 9 8 8 8 9 10 11 12 13 13 14 13 12 10 9 8 8 10 12 15 17 18 18 17 16 15 14 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 9 8 9 9 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 9 9 9 8 8 8 9 9 8 8 7 6 5 5 6 8 10 11 10 9 8 8 8 9 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 12 12 11 11 10 8 7 6 6 7 8 9 10 10 10 9 9 9 10 11 12 12 13 13 13 12 9 6 3 2 2 3 6 9 10 10 11 12 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 nan
nan 9 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 9 9 10 10 10 10 10 10 9 8 8 9 9 10 10 9 9 10 11 12 11 10 9 9 9 10 11 11 12 12 11 11 11 11 11 11 11 12 12 12 11 11 10 11 11 11 11 11 11 10 8 7 6 6 6 7 9 10 10 10 10 9 9 10 10 11 12 14 15 16 16 14 10 6 4 3 3 4 5 5 5 6 7 7 7 7 7 8 9 10 10 10 11 11 11 12 12 11 11 11 11 10 10 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 7 7 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 10 10 10 10 10 9 9 9 10 12 13 12 11 10 9 9 9 9 10 10 11 12 11 11 11 11 10 10 11 11 11 12 11 10 10 10 9 10 10 11 11 11 10 9 8 7 6 6 7 8 9 10 10 10 10 10 10 10 11 12 14 16 18 20 20 17 15 13 12 12 12 11 10 10 11 11 10 10 10 11 11 12 11 11 12 13 15 17 16 14 13 12 11 11 10 10 9 9 nan
nan 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 12 12 12 11 11 11 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 10 10 9 9 9 9 8 8 9 9 9 9 8 7 6 4 2 -0 -2 -1 0 2 3 3 4 5 8 10 11 11 11 11 11 11 11 11 12 12 12 11 10 9 10 10 10 11 11 10 10 9 9 9 8 8 8 9 10 10 10 10 10 10 10 11 11 11 11 11 10 10 9 9 9 9 10 11 12 12 11 10 9 8 7 7 8 8 9 10 10 10 10 9 9 10 10 11 12 14 17 20 21 21 20 20 20 20 19 19 19 18 18 18 18 18 17 17 16 16 15 15 16 18 19 19 17 14 13 12 11 10 10 10 10 nan
nan 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 11 10 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 9 8 5 3 0 -3 -5 -8 -9 -10 -10 -8 -7 -7 -6 -3 2 6 9 10 10 10 10 11 12 12 12 13 12 11 10 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 8 8 9 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 10 11 12 12 11 10 10 9 8 8 8 8 9 9 10 10 10 9 9 10 10 10 11 12 14 15 17 18 18 18 17 17 17 18 18 19 19 20 22 22 21 21 21 21 19 17 15 15 16 16 16 14 13 12 11 11 11 11 nan
nan 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 10 7 4 3 4 6 8 9 11 12 12 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 9 9 8 8 9 9 9 7 4 1 -1 -3 -4 -4 -5 -6 -8 -9 -11 -12 -12 -12 -10 -6 -1 4 7 8 9 10 11 11 11 11 11 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 8 7 7 7 7 9 10 11 11 11 11 10 10 11 11 11 11 11 10 10 9 9 9 10 11 11 10 10 10 10 9 9 8 8 8 8 10 11 11 10 10 10 9 9 10 10 10 11 12 13 13 13 12 12 12 12 12 13 14 15 17 19 20 22 23 23 22 18 14 13 15 18 19 19 17 16 14 13 12 12 nan
nan 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 12 10 6 2 -0 -1 -0 1 3 6 9 11 12 12 13 13 13 13 12 12 11 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 7 3 1 -0 1 2 3 3 3 1 0 -1 -3 -5 -7 -9 -11 -10 -6 -2 1 4 6 8 8 8 9 9 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 7 7 8 9 10 11 12 12 11 10 9 9 10 10 10 10 11 10 10 10 9 9 9 9 9 9 9 9 10 9 9 8 8 8 9 10 11 11 11 10 9 9 8 8 8 9 10 11 12 11 10 10 9 9 8 9 9 10 12 13 15 16 18 19 21 20 18 16 17 19 20 20 20 18 16 15 14 13 nan
nan 10 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 11 11 12 13 13 12 10 6 4 2 3 3 2 2 2 3 5 8 10 12 13 14 14 14 13 13 12 11 11 10 10 10 9 9 9 10 10 10 10 11 11 11 10 11 11 10 8 6 6 7 7 8 8 8 7 7 7 7 5 3 -1 -7 -11 -13 -12 -10 -8 -5 -2 1 3 5 6 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 8 10 12 12 12 11 10 9 9 10 10 11 11 11 10 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 9 10 11 11 10 9 8 7 7 7 9 9 11 12 11 11 10 9 8 8 8 9 9 10 11 11 11 12 14 16 17 17 16 14 13 12 12 13 14 14 14 13 13 nan
nan 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 12 11 7 4 4 5 7 8 8 6 5 3 3 5 7 11 13 13 13 13 13 13 13 12 12 11 11 11 10 10 10 10 10 10 10 10 10 10 10 12 14 16 16 15 14 14 14 15 14 13 11 9 9 10 10 9 7 3 -1 -6 -9 -12 -13 -13 -12 -10 -7 -4 0 3 5 6 6 6 6 6 7 7 8 8 8 9 9 9 9 9 8 7 6 3 1 2 5 9 13 15 16 15 13 12 12 11 11 11 10 9 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 9 10 11 11 10 9 7 7 7 8 9 11 12 12 12 10 9 8 9 9 9 10 10 10 10 10 10 11 12 12 13 13 11 8 6 5 6 8 9 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 12 12 12 11 9 6 5 6 7 9 10 10 10 8 6 4 4 6 9 11 12 12 12 13 13 13 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 12 15 19 22 22 22 21 21 22 22 19 16 13 11 10 10 11 11 10 8 7 4 -0 -4 -7 -10 -12 -13 -12 -8 -3 1 4 4 4 4 4 5 6 6 7 8 8 9 9 9 9 8 7 5 2 0 -0 1 6 11 16 20 20 18 15 14 13 12 11 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 8 8 9 10 12 12 11 10 9 8 8 7 9 10 11 12 13 11 10 9 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 10 8 6 6 6 7 8 8 9 nan
nan 11 11 11 10 10 10 10 11 11 10 10 10 10 10 10 10 11 11 12 11 11 10 7 5 6 7 8 10 10 10 10 10 9 7 7 7 8 10 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 10 11 13 17 20 22 22 22 20 21 23 23 22 20 17 14 12 11 11 11 11 12 12 10 8 5 1 -3 -7 -10 -10 -9 -7 -3 -1 0 2 3 4 4 5 6 7 8 9 9 9 8 8 7 7 7 6 4 4 5 10 16 20 21 19 17 15 15 13 11 10 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 8 8 9 10 12 13 12 11 10 10 9 8 9 10 11 12 13 12 11 10 10 9 10 10 11 11 11 11 10 9 9 9 10 11 11 11 10 8 7 7 7 7 7 8 nan
nan 11 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 10 10 10 8 5 5 6 7 9 10 10 10 10 10 10 10 9 8 9 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 13 15 16 16 15 13 11 14 19 23 25 24 21 18 14 12 11 11 12 12 12 12 11 10 9 5 0 -4 -7 -9 -10 -8 -5 -2 1 3 4 4 4 5 6 8 9 9 9 9 9 10 11 10 8 6 6 8 11 14 16 16 16 16 16 15 13 11 9 9 9 9 9 9 9 10 10 9 9 8 9 9 9 9 9 9 11 13 14 13 12 11 11 9 9 9 10 11 12 12 11 11 10 10 10 10 10 11 12 12 12 11 9 8 7 8 8 9 9 8 7 7 7 7 8 8 8 nan
nan 10 10 10 10 10 10 11 10 10 10 10 10 10 10 11 11 11 10 10 10 8 6 4 4 6 8 9 10 10 10 10 11 11 11 10 9 10 11 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 12 13 13 13 10 6 4 5 9 16 21 24 24 23 21 16 13 11 11 11 11 12 12 12 12 11 9 6 2 -2 -5 -7 -7 -6 -3 -0 2 4 4 4 3 5 6 8 9 9 9 9 9 9 6 4 4 4 4 6 9 12 14 15 16 16 15 12 11 10 9 9 9 10 11 11 11 10 9 9 8 8 9 9 8 8 10 13 14 13 13 12 10 10 9 9 8 10 10 11 11 11 10 9 9 10 10 11 12 12 13 13 11 9 8 7 6 6 5 5 6 6 6 7 8 8 8 nan
nan 10 10 10 10 11 11 11 11 10 10 10 10 10 10 11 11 11 10 10 10 8 6 5 5 7 9 10 10 10 10 11 11 11 12 11 10 10 11 13 14 13 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 12 13 14 12 8 5 4 5 8 13 17 21 24 25 23 19 16 14 12 12 12 12 13 13 13 13 12 11 9 6 2 -2 -5 -5 -3 -1 2 4 4 3 4 4 5 7 7 5 4 4 5 6 5 5 4 2 2 5 8 11 14 15 15 15 15 13 11 10 10 10 10 11 12 12 12 10 9 9 9 9 8 7 7 9 11 12 12 12 11 9 9 8 7 7 9 9 11 11 10 9 9 9 9 10 11 11 12 14 15 16 14 13 11 9 6 5 5 5 6 6 7 8 8 8 nan
nan 10 10 10 11 11 11 11 10 10 10 10 10 11 11 10 10 10 10 10 10 9 8 8 8 9 10 10 11 11 11 11 11 12 12 11 10 10 11 12 13 13 13 13 13 13 12 12 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 11 13 16 17 16 13 11 9 8 9 11 14 19 23 25 25 23 20 19 18 18 18 18 19 20 19 18 16 14 13 11 7 2 -1 -3 -3 -1 1 4 5 6 6 6 7 6 6 5 5 8 10 12 12 9 5 4 5 6 9 13 14 16 17 17 15 13 12 12 11 11 11 10 11 11 10 10 9 9 9 9 8 7 8 9 10 11 10 8 7 7 6 6 7 8 9 11 11 10 10 9 9 9 10 10 11 12 13 15 17 18 19 17 14 11 8 7 6 7 7 7 8 8 9 nan
nan 11 11 11 11 11 11 11 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 10 10 11 11 11 11 12 12 11 10 10 9 9 10 12 12 12 11 11 11 11 11 10 10 10 10 11 11 11 11 10 10 10 10 9 8 8 9 12 15 18 19 18 15 13 11 10 10 10 12 16 20 23 25 25 24 24 24 25 25 25 25 25 24 21 19 17 16 14 11 8 5 1 -1 -1 3 7 9 10 10 10 11 11 11 12 13 15 16 16 14 11 8 6 4 6 10 12 14 16 17 16 15 14 14 13 12 10 9 9 8 9 9 10 11 11 10 9 9 8 9 9 9 7 6 6 6 5 7 7 8 9 10 10 10 10 9 9 9 10 10 11 11 11 12 14 16 18 19 16 13 11 9 8 8 8 8 8 9 9 nan
nan 11 11 11 11 11 11 11 10 11 11 11 11 11 10 10 10 10 10 10 10 10 8 7 7 8 9 10 10 10 10 11 11 11 11 11 11 10 9 10 11 12 12 11 11 11 11 11 11 11 11 11 10 10 11 11 11 10 10 10 9 9 8 7 8 10 12 14 14 14 13 12 11 11 11 10 10 11 13 15 18 20 20 21 21 21 21 20 21 22 24 26 25 23 22 21 20 19 16 13 9 8 8 10 12 13 14 14 15 15 16 15 14 13 13 14 14 12 11 8 5 5 7 8 9 12 13 13 13 14 14 14 12 11 10 9 9 8 9 11 12 12 11 10 10 9 9 9 8 7 7 6 6 6 7 7 7 8 8 9 9 9 8 9 9 10 11 11 11 10 10 11 13 15 15 14 13 11 10 9 9 9 9 9 9 9 nan
nan 10 11 11 10 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 9 7 7 8 9 10 10 10 10 10 10 10 10 11 12 13 13 14 14 14 13 12 12 11 12 12 12 12 11 11 10 10 11 11 11 10 10 10 10 9 9 8 8 9 10 10 10 10 10 9 9 9 10 11 10 10 10 10 11 13 14 14 14 14 13 12 13 15 17 21 23 24 23 23 23 23 23 22 20 18 15 13 12 12 13 14 15 15 14 12 10 8 8 8 8 9 9 7 5 5 5 5 6 8 8 8 8 10 12 12 13 13 12 11 10 10 11 11 12 11 11 10 9 9 9 9 8 8 9 8 7 8 7 7 7 7 7 7 8 7 8 8 9 10 11 11 11 10 10 11 12 14 15 14 12 11 10 10 9 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 11 10 9 9 8 9 9 9 9 10 10 10 10 10 11 14 16 17 17 16 14 13 12 12 12 12 11 12 12 12 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 10 9 7 4 3 5 8 10 10 10 10 10 10 10 11 11 11 10 9 9 10 11 13 15 17 18 18 18 18 19 19 19 16 13 11 9 8 8 9 10 10 9 8 7 5 5 4 4 4 5 5 6 6 7 6 7 7 7 6 6 8 9 10 11 12 12 11 10 10 10 9 9 8 8 8 8 9 9 9 9 10 10 9 9 8 7 7 8 7 7 7 7 6 7 8 9 10 11 11 11 10 10 11 14 17 19 18 14 12 11 10 10 9 9 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 7 7 6 7 8 9 9 9 10 10 10 10 11 13 17 19 20 18 15 13 12 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 11 10 6 1 -2 -2 2 6 9 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 12 13 12 11 10 9 8 8 7 5 5 5 5 5 5 5 6 6 6 4 3 2 1 0 1 2 3 5 6 7 8 8 8 8 8 8 9 9 9 9 9 10 10 9 8 8 7 6 6 6 6 7 7 8 9 10 10 10 10 9 8 8 8 8 8 8 8 7 6 7 8 9 10 11 11 11 10 10 11 13 17 21 21 18 15 12 11 10 10 9 9 9 9 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 7 4 3 4 6 9 9 9 10 10 10 10 11 12 16 21 23 22 18 14 13 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 10 9 9 9 9 9 9 9 9 9 10 11 12 9 3 -2 -6 -5 -1 3 8 10 10 10 10 10 10 10 10 10 10 9 9 10 10 11 10 8 5 -0 -3 -4 -4 -3 -3 -1 -0 -1 -1 0 2 3 3 1 -1 -3 -5 -5 -5 -5 -4 -2 -1 2 4 6 8 10 9 9 10 10 10 9 9 9 9 9 8 8 8 7 6 6 6 6 6 7 7 8 9 10 10 10 9 9 8 9 8 8 9 8 7 7 8 8 9 10 10 10 10 10 10 10 12 16 20 22 22 18 15 12 11 10 10 9 9 9 nan
nan 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 7 6 6 8 9 9 10 10 10 10 10 11 14 19 23 22 19 16 14 14 13 13 12 11 11 10 10 10 11 11 11 12 12 12 12 12 11 10 10 9 9 10 10 10 10 9 10 12 13 11 8 3 -2 -6 -5 -2 4 8 10 10 10 10 10 10 11 11 11 10 10 9 10 10 10 8 4 -1 -6 -8 -9 -10 -10 -9 -10 -10 -10 -9 -7 -6 -6 -7 -8 -9 -9 -9 -9 -10 -10 -10 -9 -7 -3 0 4 7 8 9 10 10 10 10 9 9 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 10 11 11 10 9 9 9 8 9 9 9 9 8 8 9 9 10 10 10 9 10 10 10 10 13 18 21 24 22 17 14 12 11 10 9 9 9 nan
nan 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 9 9 10 9 10 10 10 10 10 10 11 14 18 18 16 13 12 13 14 15 15 14 13 12 11 11 11 11 12 12 13 13 13 13 12 12 11 11 10 10 10 10 10 10 10 12 13 14 13 11 8 4 -1 -3 -3 0 5 8 9 10 10 10 11 11 11 11 11 10 10 10 12 14 16 15 12 6 1 -3 -6 -8 -9 -11 -12 -13 -13 -13 -13 -12 -10 -8 -6 -5 -5 -5 -7 -8 -9 -10 -10 -9 -8 -5 -1 4 8 10 11 10 10 9 9 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 10 10 9 9 10 9 10 10 10 10 10 10 10 10 11 15 19 23 24 21 17 14 11 10 9 9 9 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 9 9 9 9 9 10 10 10 10 10 11 14 16 14 11 10 11 13 14 15 15 15 14 14 13 13 14 14 14 14 14 14 14 14 14 13 12 11 11 10 10 10 10 10 11 12 14 14 13 12 11 9 5 1 -2 -1 3 6 8 9 9 9 10 10 10 11 11 11 10 10 13 18 23 25 25 21 16 11 6 3 1 -0 -2 -4 -6 -7 -7 -6 -4 -2 0 2 3 2 2 1 0 -2 -4 -7 -9 -10 -6 0 6 10 11 11 10 10 10 9 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 12 12 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 12 16 21 24 24 20 16 13 11 10 9 8 nan
nan 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 8 9 9 10 10 10 10 11 14 15 13 12 12 13 13 13 13 13 14 14 15 15 15 15 16 16 15 15 15 15 15 15 14 13 11 10 10 10 10 10 10 11 13 14 14 13 12 11 11 9 6 3 2 5 6 7 8 8 9 9 9 9 9 10 10 10 10 12 15 20 25 28 29 27 23 19 15 13 11 10 8 6 5 4 4 4 5 5 6 7 7 7 8 8 6 4 1 -3 -4 -2 1 4 7 9 10 11 11 11 11 10 10 9 9 10 10 9 9 9 10 10 10 10 10 11 12 13 13 13 12 11 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 13 18 22 25 23 19 16 14 13 11 9 nan
nan 10 11 11 11 12 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 8 9 9 9 10 10 10 10 11 13 14 14 15 16 15 14 13 13 13 13 14 15 16 17 18 18 17 17 16 16 17 17 18 17 15 13 10 9 8 9 10 10 11 13 14 14 13 12 11 11 10 8 6 6 7 9 8 8 8 8 8 8 8 9 9 9 10 10 10 11 13 18 22 27 29 29 27 25 23 21 20 19 17 16 14 12 11 10 9 11 12 13 14 15 14 12 10 8 6 3 2 1 2 3 6 8 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 10 10 10 11 12 14 14 13 11 10 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 14 19 23 25 23 21 20 19 17 14 nan
nan 10 11 12 12 12 11 11 10 10 10 10 10 10 10 10 9 9 10 9 9 9 9 10 9 9 9 9 9 10 10 10 10 11 13 14 16 18 17 15 14 13 13 14 14 14 15 16 18 20 20 20 18 18 18 18 19 20 20 18 16 11 6 4 5 5 7 8 10 12 12 11 11 11 11 10 8 7 7 9 10 10 9 9 8 8 8 8 8 8 9 10 10 11 10 10 11 14 18 23 26 28 30 30 30 29 29 28 27 25 22 21 19 18 19 21 22 23 23 22 19 17 13 10 7 5 3 1 2 4 7 9 10 11 11 11 11 11 10 10 10 9 9 9 8 8 9 9 10 11 13 14 13 12 10 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 11 11 11 11 11 11 12 15 19 22 23 24 24 24 23 22 nan
nan 10 10 11 11 10 11 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 10 10 10 9 9 10 10 10 11 12 13 15 18 18 16 14 13 13 13 13 13 13 13 14 16 18 19 19 18 18 18 18 19 20 21 21 19 13 5 -0 -2 -2 -1 1 3 6 8 9 9 10 10 10 7 6 7 9 11 11 11 11 10 9 9 8 8 8 9 10 11 11 12 11 10 10 12 15 19 22 25 27 29 29 29 31 32 31 30 29 28 28 28 27 26 26 26 26 25 23 21 17 14 11 9 7 6 6 8 10 11 11 11 10 10 11 11 11 11 11 10 10 9 9 9 10 10 12 13 13 13 10 8 8 8 9 9 9 10 10 11 11 11 10 9 9 9 9 10 11 12 13 12 12 11 12 14 16 17 18 20 22 23 24 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
0 0 0 0 1 3 3 5 6 6 4 2 1 1 2 3 2 3 3 2 1 1 1 1 1 2 2 2 3 3 3 2 2 3 4 4 5 5 5 6 7 7 8 7 6 6 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 0 0 0 0 0 0 0 0 0 1 9 40 119 227 330 303 242 194 163 141 125 114 102 93 86 79 73 69 68 69 65 62 58 58 61 64 64 67 59 57 59 64 69 74 80 80 80 81 84 86 87 86 85 85 89 96 108 104 98 92 86 81 78 71 63 55 50 43 37 39 37 40 45 45 47 49 48 47 44 45 47 45 41 37 33 29 28 25 20 23 27 25 21 21 23 27 34 35
0 0 0 0 0 2 3 5 6 7 6 4 3 2 1 3 1 3 2 1 0 0 0 1 1 1 1 1 2 2 2 2 2 2 3 4 4 5 5 6 7 7 7 7 7 7 7 7 6 5 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 22 78 224 255 227 189 153 130 114 103 96 89 82 77 74 73 75 78 80 77 75 74 75 76 73 65 58 57 59 65 69 77 88 93 100 90 86 89 94 96 93 88 96 103 110 111 107 102 93 86 78 71 64 59 56 52 47 42 40 41 46 47 47 47 46 47 45 45 44 42 43 40 36 32 29 23 18 20 22 18 16 17 21 25 31 34
0 0 0 0 0 1 2 3 4 5 5 4 4 3 4 3 3 2 2 1 1 0 0 0 0 0 0 0 1 2 2 2 2 2 2 3 4 4 5 6 6 6 6 6 7 8 8 8 7 7 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 6 73 121 131 122 111 102 92 84 77 69 63 61 60 60 61 64 67 71 76 81 84 90 91 79 70 69 72 76 81 91 97 93 118 113 102 102 107 110 114 110 107 108 109 109 106 104 97 90 82 72 65 61 59 58 56 46 42 41 42 43 43 43 42 43 43 43 42 42 40 39 38 35 34 28 22 20 18 14 13 15 20 24 27 29
0 0 0 0 0 1 1 2 2 2 3 2 2 1 2 3 4 3 2 1 0 0 0 1 0 0 0 0 0 1 1 2 1 2 2 2 3 3 4 4 4 5 5 5 6 7 7 7 7 7 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 12 27 40 53 67 70 65 60 53 47 43 41 41 40 40 41 45 52 60 72 85 105 116 105 91 84 83 87 98 116 113 108 116 120 116 111 117 116 113 110 109 109 109 107 102 99 95 90 82 74 66 62 60 59 56 47 45 46 46 45 41 39 41 40 39 39 40 42 40 40 38 36 36 33 26 22 18 15 13 15 19 24 29 31
0 0 0 0 0 0 0 0 0 0 1 1 1 2 1 2 2 3 3 2 0 0 0 1 0 0 0 0 0 0 0 1 1 2 2 2 2 2 3 4 4 4 4 4 5 6 6 5 5 5 4 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 2 4 8 20 36 45 47 44 37 32 30 28 28 27 27 28 32 37 44 53 71 101 128 131 119 109 103 104 114 131 130 123 119 120 120 113 118 118 116 113 111 112 111 109 101 94 90 86 81 74 68 63 61 59 56 51 49 50 52 52 51 50 48 46 43 42 37 38 39 38 36 34 32 30 27 24 21 17 14 16 21 26 34 39
0 0 0 0 0 0 0 0 0 0 1 0 0 1 1 1 1 1 1 2 1 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 2 2 2 3 3 3 3 3 4 4 4 3 3 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 7 15 27 36 39 35 31 29 27 26 26 27 27 30 33 37 40 51 80 110 128 137 139 129 123 121 126 125 122 122 124 130 126 125 120 119 114 107 113 111 104 99 94 88 83 79 74 69 65 61 57 51 48 47 46 46 46 51 58 59 57 55 55 48 45 44 42 38 34 32 30 31 29 26 22 19 19 24 26 36 43
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 3 3 2 2 2 2 2 1 2 2 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 10 20 29 34 36 36 36 35 38 43 44 47 46 44 41 44 60 82 106 132 151 144 136 130 124 117 114 124 128 138 143 137 122 114 114 106 109 109 99 95 95 92 83 75 70 67 63 58 53 50 48 44 40 38 39 44 51 59 63 64 62 60 59 58 54 48 44 41 41 37 36 34 31 28 22 28 32 36 39
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 4 3 3 2 2 2 2 1 0 0 1 1 2 1 2 3 3 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 5 13 23 33 38 41 47 57 71 89 98 79 67 57 51 52 61 75 98 121 131 138 147 150 137 112 109 119 132 144 149 142 127 121 112 108 107 98 94 94 90 79 71 66 62 58 55 52 49 45 40 35 31 29 31 40 52 59 60 58 58 61 63 61 55 49 48 49 48 46 43 37 34 29 31 33 36 36
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