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 8 8 7 7 6 6 7 9 11 11 11 10 9 9 8 8 7 6 7 7 7 8 7 7 7 7 7 6 6 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 7 7 7 8 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 7 7 8 8 8 8 7 5 5 6 7 9 11 12 13 14 14 13 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 8 8 8 8 7 7 7 7 8 11 15 18 20 21 21 20 19 17 15 14 14 14 13 13 13 12 12 11 10 9 8 8 8 7 8 8 8 9 9 9 9 8 8 9 9 nan
nan 7 7 6 6 6 6 8 10 10 10 9 8 8 8 7 7 6 6 6 7 7 8 7 7 7 7 7 7 6 6 7 7 7 7 7 7 7 8 8 8 8 9 8 8 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 7 7 7 7 8 8 8 7 6 6 7 8 10 11 12 13 13 13 12 11 9 8 8 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 10 9 9 9 10 10 10 10 10 10 10 11 10 10 10 10 10 9 9 9 9 8 7 6 6 7 9 11 13 15 16 17 17 17 17 17 17 17 17 17 16 16 15 14 13 11 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 nan
nan 6 6 6 6 6 7 9 10 9 8 7 7 7 7 7 6 6 6 6 7 7 7 7 6 7 7 7 7 6 7 7 7 7 7 7 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 9 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 9 9 8 8 8 8 7 8 8 8 8 8 7 6 5 6 8 9 11 12 13 12 11 9 8 7 6 5 5 6 6 6 7 7 7 8 8 8 8 8 8 9 9 9 9 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 7 7 7 8 9 10 12 13 15 16 16 17 18 19 20 20 19 18 17 16 15 13 12 12 11 11 10 9 8 8 8 8 7 8 8 8 9 nan
nan 7 7 7 7 7 8 9 9 8 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 9 9 9 8 8 9 9 9 9 8 8 9 9 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 9 8 8 7 7 6 7 8 9 10 11 11 9 7 5 4 4 4 4 5 6 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 12 12 11 10 10 10 9 9 8 8 8 8 8 9 10 12 13 14 15 16 18 19 20 19 18 18 17 16 15 14 14 13 13 12 11 10 9 9 8 7 7 7 8 8 nan
nan 8 8 9 8 8 8 8 8 7 7 7 7 7 7 7 7 6 6 6 7 7 7 7 7 7 7 7 8 8 8 8 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 8 9 9 8 8 8 8 8 9 10 10 9 9 9 9 9 9 9 8 8 7 6 6 5 6 7 7 5 4 2 2 2 3 4 5 6 7 7 7 7 7 7 7 7 6 6 6 6 6 7 7 7 8 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 12 12 12 13 12 12 11 11 10 10 10 9 9 8 8 8 9 9 10 11 12 12 13 14 16 16 17 17 17 16 16 16 15 15 14 14 13 13 12 11 10 9 9 8 8 8 8 nan
nan 10 10 10 9 9 8 7 6 7 7 7 7 7 7 7 7 7 7 7 7 8 7 8 8 9 9 9 9 9 9 9 10 10 11 11 11 10 9 9 9 9 9 9 9 8 8 8 7 7 7 8 8 8 8 8 9 9 9 9 9 10 10 8 8 8 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 9 9 9 7 6 3 1 1 2 3 3 2 2 2 2 3 4 6 7 8 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 12 11 11 11 11 11 10 10 10 11 11 11 12 12 11 11 11 10 10 10 10 9 9 9 9 9 9 10 10 11 11 11 12 13 14 15 16 16 16 16 16 16 16 15 15 14 14 13 13 12 11 10 9 9 9 9 nan
nan 11 11 10 9 9 8 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 7 7 8 8 8 7 7 7 7 7 7 7 8 8 9 9 9 10 10 9 9 9 9 8 8 8 8 9 9 9 10 10 11 11 11 10 10 10 9 8 7 6 3 0 -1 0 2 3 3 3 2 2 2 3 4 6 7 8 8 8 8 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 11 11 11 12 13 14 15 15 16 16 17 17 16 16 16 15 15 14 14 13 13 12 11 10 10 10 nan
nan 10 10 9 8 8 7 7 7 7 7 8 8 8 7 7 7 8 8 9 9 9 9 8 8 9 11 11 10 10 10 10 10 10 11 11 10 10 9 9 9 9 8 7 6 7 8 9 10 9 8 7 7 7 7 7 7 8 8 8 9 10 10 10 10 10 9 8 7 7 7 8 8 9 9 10 11 11 11 10 10 9 8 7 6 6 5 3 2 3 4 4 3 2 1 1 1 2 3 4 5 6 7 7 7 7 7 6 6 7 7 8 8 8 9 9 9 9 8 8 7 7 7 7 7 7 7 7 8 8 9 9 10 10 10 10 10 10 9 9 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 11 10 11 11 11 11 12 13 13 14 15 16 16 17 17 16 16 16 15 15 14 14 13 13 12 12 12 nan
nan 9 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 10 10 9 8 8 8 9 10 11 11 10 9 8 8 9 8 7 6 7 9 10 10 9 8 7 7 8 9 8 8 8 8 8 9 9 9 10 10 11 10 9 8 7 7 7 8 8 9 10 10 11 10 9 8 7 7 7 6 6 6 6 6 7 6 5 3 1 -1 -0 0 1 1 2 3 5 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 8 8 7 7 7 7 6 6 6 6 6 6 6 6 7 8 8 9 9 9 9 9 9 9 9 10 10 9 9 9 8 8 9 9 9 9 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 12 13 14 15 16 16 17 17 17 16 16 15 15 14 14 15 15 14 nan
nan 7 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 10 10 11 11 10 9 8 8 9 9 8 7 7 6 7 8 8 9 10 10 9 9 8 8 8 7 7 7 8 9 9 9 8 7 7 7 8 8 8 8 9 9 9 9 9 8 9 9 10 10 9 8 7 7 7 8 9 9 9 10 9 7 6 6 6 7 7 7 7 8 8 8 8 6 3 0 -1 -1 -0 0 1 1 3 4 5 6 6 6 6 6 6 7 8 8 9 9 9 8 8 7 7 7 7 7 6 6 6 6 6 5 5 5 5 6 6 7 8 8 8 9 9 9 10 10 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 11 13 14 15 15 16 17 16 16 16 16 16 16 16 16 16 nan
nan 6 6 5 6 7 7 7 7 8 8 8 8 8 8 8 9 9 10 10 11 10 9 8 7 7 7 7 7 7 7 6 6 7 8 9 9 9 9 9 8 8 8 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 9 9 9 8 7 7 8 9 9 9 8 7 7 7 8 8 9 9 8 7 5 5 5 6 7 7 7 8 8 8 8 8 7 4 2 1 -0 -0 0 1 1 3 4 5 5 5 5 6 6 7 8 8 8 9 9 8 8 7 6 6 6 6 6 7 7 7 7 7 6 6 6 6 6 6 6 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 8 8 7 7 8 8 8 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 9 11 11 12 14 15 15 16 16 16 16 16 17 16 16 nan
nan 7 6 6 7 7 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 7 7 6 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 7 8 8 8 8 9 9 8 7 7 7 8 8 9 9 8 8 8 8 8 8 8 8 6 4 5 6 7 7 8 8 8 8 8 8 7 6 6 5 3 2 1 0 1 2 3 4 4 4 4 5 6 6 7 8 8 9 9 8 8 7 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 8 8 9 9 10 10 10 10 9 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 6 7 7 8 8 9 10 11 12 13 14 15 15 15 16 16 16 nan
nan 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 9 10 9 8 7 7 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 9 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 8 8 7 5 5 5 6 6 7 8 8 8 8 9 8 7 6 6 6 6 5 3 1 1 2 3 3 3 3 4 5 6 6 7 8 9 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 8 8 7 7 7 7 6 7 7 7 8 8 8 8 9 8 8 8 7 7 7 7 7 7 7 7 8 9 11 12 13 13 14 15 15 16 nan
nan 9 8 8 7 7 7 7 7 7 7 6 7 7 7 6 7 8 10 10 9 7 7 7 8 8 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 8 8 7 7 7 7 8 8 8 8 8 8 8 9 9 9 8 7 6 5 5 6 6 6 7 7 8 8 8 8 8 7 6 7 7 7 6 5 4 2 2 1 1 2 3 4 5 5 6 7 8 9 8 8 7 7 6 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 6 6 6 6 6 7 7 8 8 8 8 8 7 7 7 6 6 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 10 11 12 13 14 14 nan
nan 9 8 8 7 7 7 7 7 7 7 6 7 7 7 6 7 9 11 10 8 7 7 7 7 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 9 8 7 7 7 7 8 8 8 8 7 7 7 8 9 10 9 8 7 6 5 5 6 6 6 7 8 9 9 8 8 7 6 6 6 7 7 7 7 6 4 1 -1 -1 1 3 5 5 5 5 7 8 8 8 7 6 6 6 5 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 7 6 6 6 6 6 6 6 6 6 6 7 7 8 8 8 8 7 7 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 9 9 10 11 12 13 13 nan
nan 9 8 8 8 7 7 7 7 7 7 7 6 6 6 7 8 10 11 9 7 7 7 7 7 7 8 8 8 8 8 8 9 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 8 9 9 9 8 7 7 6 7 7 8 8 8 8 7 6 7 8 9 9 9 9 8 6 5 5 5 6 6 7 8 9 9 8 7 7 6 6 7 7 7 7 7 7 6 2 -1 -2 1 4 5 5 5 6 7 8 7 6 6 6 5 5 6 6 7 7 7 7 7 8 8 8 8 8 8 7 7 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 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 11 12 12 12 12 nan
nan 9 8 8 8 8 7 7 7 7 7 7 6 6 6 8 9 10 10 9 8 7 7 7 7 7 7 8 8 7 7 8 9 9 8 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 8 9 9 8 8 7 6 6 7 8 8 8 8 8 7 7 7 8 8 8 9 9 8 6 5 5 5 6 7 8 8 8 8 8 7 7 7 7 7 7 7 6 6 7 6 4 0 -1 1 4 5 6 6 7 8 7 6 5 5 5 5 5 6 7 7 7 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 6 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 7 7 7 7 7 7 7 7 7 8 8 8 9 9 9 10 10 11 12 13 13 13 13 12 nan
nan 8 9 9 8 8 8 8 7 7 7 7 7 6 7 8 10 11 10 9 8 7 7 7 7 7 7 8 8 7 7 6 8 9 8 8 7 7 7 8 8 8 7 7 8 8 8 8 8 8 8 7 7 7 8 9 9 8 7 7 6 6 7 8 8 8 8 8 7 7 7 8 8 8 8 7 6 6 5 5 5 6 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 6 3 1 2 5 6 6 7 8 8 7 5 4 4 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 6 7 7 7 7 7 8 8 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 9 10 12 14 16 16 16 15 14 13 nan
nan 8 9 9 8 7 7 7 7 7 7 7 7 7 7 8 10 11 11 9 8 8 7 7 7 7 8 8 8 8 8 7 7 8 8 8 7 7 7 8 8 8 8 7 7 7 7 7 8 8 8 7 7 7 8 9 9 8 7 6 6 7 8 8 8 8 8 8 7 7 7 8 9 9 8 6 5 5 5 5 5 6 7 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 7 5 4 4 5 6 7 9 10 9 6 4 3 3 3 4 6 7 8 8 8 9 9 9 9 9 9 8 8 8 7 7 7 7 6 6 6 6 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 7 7 7 6 6 6 7 9 11 13 16 18 18 18 17 15 15 nan
nan 9 9 9 8 7 7 7 7 7 7 7 7 7 8 9 11 12 10 9 8 8 7 7 7 7 7 8 9 9 9 8 8 8 8 8 7 7 7 7 8 8 8 7 6 6 6 6 7 7 7 7 7 7 8 9 8 8 7 6 7 7 8 8 8 8 8 8 7 7 7 8 9 8 7 6 5 4 4 5 6 7 7 7 8 8 8 9 8 8 8 8 7 7 7 7 8 8 8 8 6 6 6 6 7 8 11 12 9 5 3 1 2 3 5 6 7 8 8 9 9 9 9 9 9 9 9 8 8 8 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 7 7 7 8 8 9 9 9 9 8 8 8 8 8 8 7 7 7 7 9 10 12 15 16 17 17 18 18 18 nan
nan 9 9 9 8 7 7 7 7 7 7 8 8 8 9 10 11 11 10 9 8 8 8 8 7 7 7 8 9 9 9 9 8 8 8 8 8 8 7 7 8 8 7 7 6 6 6 6 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 8 8 7 7 7 8 9 9 8 7 6 5 4 4 5 6 7 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 9 12 12 8 4 1 -1 1 3 5 6 7 7 8 8 9 9 9 9 9 9 9 9 8 8 8 7 7 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 8 8 8 8 9 9 9 11 12 13 15 18 20 21 nan
nan 9 10 9 9 8 7 7 7 7 7 8 8 8 8 10 11 10 9 9 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 8 9 9 9 8 8 8 8 7 8 9 9 9 8 8 7 7 7 8 8 8 8 7 6 5 4 4 5 6 8 9 9 9 8 8 8 8 8 8 7 7 7 8 8 8 8 8 7 7 7 8 8 8 9 10 9 7 3 -1 -2 1 4 5 5 6 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 10 10 11 11 12 11 11 11 11 10 10 10 10 10 10 10 9 7 7 8 8 10 13 16 19 21 nan
nan 10 10 10 9 8 7 7 7 7 7 7 7 7 8 10 11 11 10 9 8 8 8 8 8 8 7 8 8 8 8 9 8 8 8 8 9 9 9 8 8 8 8 9 8 7 7 7 7 7 8 8 9 10 10 9 9 9 8 8 9 9 9 9 8 7 6 6 7 7 8 8 8 7 7 6 5 4 4 5 7 8 9 10 9 9 8 8 7 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 7 8 8 7 6 3 -0 -0 2 4 5 5 5 6 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 11 12 12 13 13 13 12 12 12 12 12 12 12 11 11 11 9 8 7 6 6 7 9 11 14 17 nan
nan 9 10 10 9 8 8 7 7 6 6 6 6 8 9 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 8 8 8 9 9 10 10 10 9 8 8 9 10 10 10 9 8 7 6 5 5 6 6 7 7 7 7 7 6 4 4 5 6 8 9 9 9 9 9 8 7 7 7 8 7 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 6 6 5 4 4 5 5 5 5 5 6 6 7 8 8 8 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 13 12 12 12 13 13 13 13 12 11 10 9 7 6 5 4 4 5 6 8 11 nan
nan 9 10 10 9 9 8 7 7 6 6 6 7 8 10 10 10 10 9 8 8 8 8 8 8 8 7 7 7 7 8 8 8 8 9 9 8 7 8 9 11 11 11 10 9 8 8 8 8 8 9 9 10 10 9 9 8 8 10 11 11 10 10 9 7 6 5 5 6 6 6 7 8 8 6 5 4 4 5 7 9 9 9 9 9 8 7 7 7 7 7 8 8 9 8 8 8 8 8 8 8 8 8 8 7 6 6 6 6 6 7 8 7 6 5 5 5 5 6 7 7 8 9 9 9 8 8 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 12 12 13 13 13 13 12 11 11 12 13 14 14 13 11 10 9 8 7 7 6 4 4 3 3 4 5 nan
nan 9 10 9 9 9 8 7 7 6 6 7 8 9 9 10 9 9 8 8 8 8 7 7 7 7 7 7 7 8 8 8 9 9 9 9 8 6 6 8 9 10 10 9 8 8 8 7 8 9 10 10 10 10 9 9 8 9 10 11 11 11 11 10 9 8 7 7 7 6 7 8 8 8 6 4 4 4 6 8 9 9 9 9 8 7 7 6 7 7 7 8 9 9 8 7 7 8 8 8 8 8 8 7 6 6 5 6 6 8 9 9 8 7 6 5 5 5 6 7 8 9 9 9 8 8 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 10 11 13 13 11 10 9 8 8 8 8 7 6 5 4 3 3 3 nan
nan 9 10 10 9 9 9 8 7 7 7 8 8 8 8 9 9 9 8 7 7 7 7 7 7 7 7 8 8 7 8 9 9 10 10 10 9 7 6 6 7 9 10 9 7 7 7 7 8 9 10 10 9 9 8 8 9 10 11 11 11 11 11 11 10 9 8 9 9 9 8 8 8 7 5 4 4 6 8 9 9 9 9 8 7 7 6 7 7 7 7 8 9 9 8 7 7 7 8 8 8 8 7 6 6 5 6 7 8 9 9 9 8 8 8 6 6 6 6 8 10 12 11 10 8 6 5 6 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 10 11 11 11 11 11 10 10 9 9 10 11 11 10 9 8 7 8 10 10 9 9 8 8 9 9 9 8 7 6 5 4 4 4 nan
nan 9 10 10 10 10 10 9 8 8 8 8 8 8 7 8 9 9 8 7 6 6 6 7 7 7 8 8 8 8 8 9 9 10 10 11 11 9 7 7 7 8 9 8 7 6 6 7 8 10 10 10 8 8 8 8 8 10 11 12 12 11 11 10 9 8 9 10 11 10 9 7 5 5 4 4 5 7 9 10 9 9 8 7 7 7 7 7 7 7 8 8 9 9 8 7 7 7 8 8 8 8 7 6 5 6 7 8 9 9 9 8 8 8 7 7 7 7 8 11 14 15 13 10 6 3 3 5 7 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 7 8 9 10 10 9 8 7 7 7 7 7 7 7 7 8 9 9 9 8 6 5 5 5 5 nan
nan 10 10 9 9 10 10 9 9 8 8 8 8 7 7 8 9 9 9 7 6 6 6 6 7 8 8 8 8 7 8 8 9 9 11 12 11 10 9 8 8 8 8 8 7 6 6 7 8 9 10 9 8 8 7 8 9 10 11 11 11 11 10 9 8 9 10 12 12 11 8 4 3 3 4 5 7 9 10 9 8 8 7 7 6 7 7 8 9 8 8 8 8 8 8 7 7 7 8 8 8 7 7 6 6 7 8 9 9 9 8 8 7 7 7 7 8 9 10 12 14 14 11 6 -0 -3 1 6 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 8 8 7 7 6 6 6 6 7 8 9 9 8 7 6 5 5 5 nan
nan 9 9 9 9 10 10 9 9 9 9 8 7 7 7 8 9 10 10 9 7 6 6 6 7 7 8 7 7 7 7 7 8 9 10 11 11 10 9 9 9 9 9 9 8 7 7 7 7 8 9 9 8 8 8 9 9 10 10 10 9 9 8 9 9 11 12 13 13 10 5 1 1 2 4 7 9 10 10 9 8 7 7 6 6 7 8 9 10 9 8 7 7 7 7 7 7 7 8 8 8 7 7 7 7 8 9 9 9 8 8 8 7 6 7 7 8 9 9 10 11 9 5 -3 -10 -7 1 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 7 7 8 8 7 7 7 7 7 7 8 9 9 9 9 8 8 7 7 6 6 5 6 7 8 8 8 8 7 6 5 5 nan
nan 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 9 10 10 9 7 6 6 7 7 7 7 7 7 7 7 7 8 9 10 10 10 10 10 10 10 10 10 9 8 7 7 7 8 8 9 9 9 9 10 10 9 9 8 8 8 8 9 10 12 14 14 12 7 2 -1 -0 3 6 9 10 10 9 8 7 7 7 6 7 7 9 10 10 9 8 7 7 7 7 6 7 8 8 8 8 8 8 8 8 8 9 9 9 8 8 7 6 6 6 7 8 8 8 8 8 5 -2 -10 -12 -4 4 8 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 7 7 7 7 7 6 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 7 7 6 6 5 5 6 6 7 7 8 8 7 7 6 nan
nan 9 9 9 9 8 8 9 9 9 9 9 8 8 8 7 7 8 10 11 10 8 7 6 6 6 6 6 7 7 7 7 7 8 8 8 9 9 10 10 11 11 11 11 10 9 8 8 7 7 7 8 8 9 10 10 10 9 8 7 8 8 9 9 10 11 13 12 8 3 -1 -1 1 6 9 11 10 9 7 7 6 7 7 7 7 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 7 7 7 7 7 7 7 7 7 8 7 2 -5 -10 -6 3 9 11 11 10 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 6 6 5 5 5 5 6 6 7 7 8 8 8 nan
nan 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 7 8 10 11 11 9 8 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 10 10 10 10 10 10 10 9 8 8 7 7 7 8 8 9 9 10 10 9 9 9 9 9 8 9 9 10 8 3 -0 -1 1 6 10 13 13 10 8 6 6 6 7 7 7 8 8 9 10 10 9 8 7 6 6 6 7 7 8 8 8 8 8 9 10 10 9 9 9 8 8 8 8 8 7 7 7 7 7 7 7 5 0 -5 -5 3 11 15 14 11 10 9 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 7 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 6 6 7 7 7 7 7 7 6 6 6 5 5 5 5 6 6 7 8 8 nan
nan 9 9 8 7 8 9 9 9 9 10 9 9 9 8 8 8 8 10 11 11 10 9 7 6 6 6 6 7 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 10 9 9 8 8 7 7 7 7 7 8 9 10 11 11 10 9 8 8 7 8 7 4 2 0 2 6 11 14 15 13 9 6 6 6 7 7 8 8 8 9 9 9 9 8 8 7 6 6 7 7 8 8 8 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 7 7 6 6 7 7 5 3 2 6 14 19 18 14 11 9 8 7 7 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 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 7 6 6 6 6 6 6 6 6 7 8 nan
nan 9 8 8 7 8 8 9 9 10 9 9 9 9 8 8 9 9 9 10 10 10 9 8 7 6 6 6 7 7 7 7 7 7 8 8 9 8 7 7 7 8 7 8 8 9 9 9 9 8 7 7 7 6 6 6 8 10 10 10 10 9 8 7 7 6 5 4 3 3 6 9 13 14 13 10 7 6 7 8 9 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 8 8 9 15 19 19 16 12 9 8 6 5 5 6 8 8 8 8 8 9 9 9 9 9 9 9 9 8 7 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 7 7 7 6 6 6 6 6 7 7 nan
nan 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 8 7 7 7 6 6 7 8 7 7 7 7 8 9 8 7 6 7 7 6 6 7 8 10 10 10 9 7 7 8 7 6 5 6 7 9 9 9 9 8 7 6 6 6 5 5 6 8 11 12 11 8 6 5 7 8 9 10 9 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 6 6 7 8 9 10 11 13 14 13 11 9 8 5 3 2 3 6 8 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 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 7 7 7 7 7 7 7 7 7 8 nan
nan 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 7 7 6 6 7 8 8 7 7 8 8 9 9 8 7 7 7 7 6 7 9 10 10 10 9 9 9 10 9 8 6 5 4 5 6 7 7 7 6 6 5 5 5 5 7 9 10 9 7 5 5 6 9 10 10 10 9 8 7 8 8 8 7 7 7 8 7 7 7 8 8 8 8 9 9 8 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 9 9 9 9 8 8 7 5 2 -1 -2 2 6 7 8 8 8 8 8 9 9 9 9 9 9 9 8 8 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 6 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 nan
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nan 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 7 7 7 8 8 7 8 9 10 10 10 9 9 8 8 9 10 10 9 8 7 7 7 8 8 10 11 12 12 12 10 8 7 6 7 7 8 7 7 7 7 7 7 7 7 7 7 8 7 7 7 8 7 7 8 8 8 8 8 9 9 9 8 7 6 7 7 7 7 8 8 8 8 7 7 7 7 8 8 8 9 9 8 8 8 7 7 8 8 8 8 7 7 7 8 8 9 8 6 2 -1 -3 -4 -5 -7 -6 -0 4 6 7 7 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 nan
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nan 8 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 12 11 10 10 9 9 8 8 8 8 8 8 8 7 7 6 6 6 7 6 6 6 7 8 9 9 9 8 5 4 3 4 5 5 6 7 8 8 8 9 9 10 10 10 10 9 8 7 8 9 12 14 14 13 11 10 9 9 9 9 9 9 8 8 7 8 9 12 14 15 15 14 12 11 10 9 8 8 9 9 9 9 10 11 13 14 14 13 11 11 12 15 21 24 25 25 25 24 24 25 26 26 26 25 22 18 15 13 12 11 11 11 11 11 11 11 12 12 12 12 11 12 12 11 11 11 11 11 11 11 11 11 11 nan
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nan 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 10 10 10 10 10 10 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 7 8 8 9 8 7 6 6 6 6 8 9 10 11 10 9 7 6 6 8 10 11 12 12 11 10 9 8 8 8 9 9 9 9 8 9 10 13 15 16 15 12 9 8 7 6 6 7 8 9 10 11 11 11 12 12 11 9 9 9 10 10 11 12 12 12 10 8 5 3 2 3 5 7 10 10 8 8 11 16 19 17 14 12 12 12 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 nan
nan 8 8 9 9 9 9 10 10 10 10 9 9 9 9 9 9 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 11 11 11 10 10 11 12 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 6 7 7 8 9 9 9 8 8 9 10 10 10 10 9 7 7 8 10 11 12 11 10 9 9 9 10 11 12 11 11 10 10 9 9 9 9 9 9 10 10 10 10 12 15 18 19 18 14 9 7 7 6 6 7 8 8 8 8 9 10 11 11 11 10 9 9 10 11 12 12 12 11 11 10 10 10 9 5 1 -1 -2 -3 -4 -3 2 8 14 16 13 12 12 13 13 14 13 13 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 nan
nan 8 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 10 10 10 10 11 11 11 11 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 6 5 4 5 6 6 7 9 10 11 9 9 9 10 11 11 11 10 9 8 8 9 10 11 11 11 10 10 11 13 14 13 12 11 10 10 10 9 9 9 8 9 9 10 10 11 13 15 17 19 18 15 11 8 6 6 6 7 7 8 8 8 8 8 9 9 10 10 10 9 9 9 9 10 11 12 12 12 14 16 18 20 19 16 12 9 7 5 7 11 15 15 12 12 13 15 15 15 14 14 13 13 12 12 12 13 15 15 15 14 14 14 14 13 13 12 12 nan
nan 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 8 7 4 1 0 0 3 5 6 7 9 10 10 9 9 10 11 11 11 10 8 7 6 7 9 11 11 11 11 11 11 12 13 13 12 11 11 10 10 10 10 10 9 9 10 10 11 12 14 15 17 17 16 13 10 7 6 5 5 6 7 7 8 9 8 8 8 8 9 10 10 10 9 8 8 8 9 10 12 13 13 15 16 19 21 25 27 27 27 25 26 28 30 30 27 23 22 23 23 22 19 17 16 14 14 13 15 18 22 24 22 19 16 15 14 14 13 13 12 12 nan
nan 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 12 11 10 10 10 11 11 12 12 12 11 11 11 11 11 11 10 10 10 10 10 11 11 11 12 12 11 11 10 10 10 9 9 8 8 8 9 9 8 6 3 -1 -5 -8 -7 -4 -0 2 4 5 6 8 8 9 10 11 11 11 10 8 7 6 6 9 11 12 13 12 11 11 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 12 14 16 17 16 14 11 7 5 5 4 5 5 6 7 8 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 11 12 13 13 13 13 14 16 20 24 27 29 30 32 34 36 34 32 31 30 29 29 28 27 24 21 20 19 19 20 24 27 27 23 18 15 14 13 13 13 13 12 12 nan
nan 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 10 9 7 5 4 7 10 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 11 11 12 12 11 11 10 10 10 9 9 9 9 9 9 7 2 -3 -8 -11 -13 -12 -9 -4 -1 -0 -0 0 1 3 5 8 10 11 10 10 9 7 6 7 9 11 13 14 13 12 10 10 11 11 11 12 12 11 11 11 11 11 11 10 10 10 11 12 13 15 15 15 12 9 6 4 4 5 5 6 7 8 9 9 10 9 9 9 9 10 10 10 10 10 10 11 12 13 12 12 12 13 13 13 12 12 13 14 16 18 20 22 23 24 23 22 21 22 23 24 25 27 28 27 26 27 28 28 26 25 22 19 17 17 17 16 15 15 14 13 13 13 nan
nan 10 10 10 10 10 9 9 9 8 8 9 9 9 10 10 10 11 11 11 11 11 11 10 9 6 1 -3 -5 -1 5 9 11 13 14 14 13 13 12 12 12 11 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 9 7 0 -7 -13 -14 -13 -10 -5 -1 2 2 1 -1 -2 -1 1 4 7 8 7 5 5 5 5 5 7 9 12 12 12 12 11 11 11 12 12 12 12 12 12 11 11 11 11 10 10 11 11 12 13 14 14 12 10 7 5 4 4 4 5 7 8 9 9 10 10 10 9 9 9 10 10 11 10 10 10 10 12 13 14 15 14 13 13 13 13 13 12 12 12 12 12 13 14 13 12 10 10 10 11 12 14 16 18 19 22 25 28 30 30 28 24 20 18 19 22 24 24 22 19 16 14 13 12 nan
nan 11 11 11 10 10 10 9 9 8 8 8 8 9 9 10 10 11 11 10 11 11 10 9 5 -1 -8 -11 -10 -2 6 9 12 14 15 15 14 13 13 13 12 11 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 9 8 8 8 7 2 -5 -11 -13 -10 -5 -0 3 6 7 6 4 3 2 3 3 4 4 2 -2 -3 -2 -1 1 3 7 9 9 9 8 9 9 10 12 13 13 13 12 12 12 11 11 10 10 10 11 11 12 13 13 13 11 8 5 3 3 3 3 4 5 8 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 12 13 15 16 17 16 15 14 13 12 12 11 10 10 10 9 9 8 7 6 7 7 8 9 10 11 11 12 15 18 21 22 23 25 25 24 22 21 21 21 20 18 15 12 11 10 10 nan
nan 11 10 10 10 10 10 10 9 9 8 8 8 8 9 9 10 10 10 10 9 10 9 7 1 -6 -11 -11 -6 2 8 10 13 15 16 14 14 14 14 14 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 6 2 -2 -5 -3 1 4 7 8 9 9 8 7 6 5 5 5 4 2 -2 -6 -7 -6 -4 -2 2 5 6 6 5 6 7 8 9 11 11 11 11 11 11 11 10 10 10 10 10 11 12 12 11 10 8 6 4 3 3 4 4 4 5 7 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 14 16 18 19 19 17 14 12 10 9 8 8 8 7 7 7 6 6 6 7 8 9 10 10 10 10 10 11 13 14 15 16 18 20 20 17 11 6 3 2 3 4 5 7 8 9 nan
nan 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 9 9 9 8 5 -2 -9 -10 -7 -0 6 9 11 13 14 15 16 16 17 16 14 12 12 12 12 11 11 11 11 11 10 10 9 10 10 10 10 10 10 9 9 8 7 6 6 7 9 12 13 14 14 14 12 10 8 6 6 5 5 4 2 0 -2 -2 -2 -2 -1 0 1 1 1 4 6 8 8 7 7 7 7 8 9 9 9 9 10 10 10 11 11 11 10 8 5 3 2 2 3 5 6 7 8 10 11 11 10 8 8 8 9 9 9 9 9 9 9 10 10 10 11 11 12 14 16 17 18 18 15 12 10 9 7 6 6 5 5 6 6 7 8 8 9 10 10 10 10 10 10 10 11 12 12 12 12 13 13 11 6 -1 -5 -7 -6 -3 0 4 6 8 9 nan
nan 10 10 10 10 9 9 9 9 9 9 9 9 8 8 9 9 9 9 8 8 8 7 2 -5 -9 -7 -3 3 7 10 11 11 13 16 19 21 21 17 13 13 12 13 12 12 11 11 11 10 10 9 9 9 9 9 9 10 10 10 9 9 9 10 12 14 16 18 18 19 19 16 13 10 9 8 8 7 6 5 4 4 4 5 6 5 4 2 0 -1 1 4 6 7 7 6 4 4 4 5 7 7 7 8 9 10 11 11 11 9 7 5 3 2 2 4 5 7 9 10 12 13 13 11 9 7 7 8 8 9 9 9 10 10 10 10 10 10 10 10 11 12 13 13 14 13 11 10 9 8 7 6 5 5 5 7 7 9 10 11 12 11 11 10 10 10 11 11 12 12 11 10 10 10 8 3 -1 -4 -4 -1 1 3 5 7 8 9 9 nan
nan 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 9 9 8 8 8 8 6 -0 -7 -8 -5 -1 5 8 10 11 11 12 17 22 25 23 18 14 14 13 13 12 11 11 11 10 10 10 9 9 9 9 9 9 9 10 10 9 9 9 10 11 12 14 15 15 14 12 11 10 11 12 12 11 9 7 6 6 6 7 9 9 10 9 7 6 5 5 5 3 1 1 2 2 3 5 6 6 6 7 8 10 11 11 10 9 7 6 5 6 7 8 8 9 10 12 13 13 12 11 10 8 8 8 8 9 9 9 9 9 10 10 9 8 7 8 9 10 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 11 13 13 13 12 11 10 10 10 10 11 11 10 9 8 7 5 1 -4 -6 -4 0 5 7 7 8 9 9 9 9 nan
nan 10 10 9 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 4 -3 -7 -7 -4 1 6 9 10 11 11 12 16 21 25 24 19 16 15 14 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 8 4 1 0 3 7 12 16 15 14 12 10 9 8 8 9 10 11 11 11 11 11 11 9 6 2 -1 -3 -1 0 3 5 6 6 7 8 10 11 10 10 8 7 6 7 8 10 10 10 9 10 11 12 11 10 9 9 9 10 10 10 10 10 9 8 8 8 8 7 6 5 5 6 7 7 7 7 7 7 6 6 6 6 6 8 8 9 9 10 11 12 13 14 14 13 12 11 10 10 10 10 10 10 9 9 7 4 -1 -6 -8 -6 -2 4 7 8 9 9 9 10 10 10 nan
nan 10 9 8 8 8 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 8 2 -5 -7 -6 -3 2 7 9 10 11 11 11 14 19 24 25 22 19 16 14 12 11 11 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 7 7 7 8 7 2 -4 -6 -4 2 8 14 15 15 15 15 14 12 11 11 11 11 12 12 12 13 13 13 12 10 7 5 3 2 2 3 4 5 6 8 10 10 8 7 7 6 5 5 7 8 8 8 6 6 8 9 10 8 7 7 8 9 10 11 12 12 11 10 9 8 8 7 6 6 7 8 8 8 8 7 7 7 6 5 5 5 5 6 8 10 10 11 12 12 12 13 13 13 12 11 10 10 10 10 10 10 10 10 9 8 4 -1 -3 -1 2 6 8 9 9 10 10 10 10 11 11 nan
nan 8 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 9 9 10 10 8 1 -4 -6 -5 -2 3 7 9 10 11 11 11 13 18 22 25 24 20 16 14 12 11 10 11 11 11 10 10 10 10 10 10 9 8 8 7 7 7 6 6 7 8 8 6 1 -2 0 5 11 16 17 14 14 14 15 15 15 15 14 14 14 15 15 16 16 18 18 16 14 12 11 9 8 7 5 5 5 7 8 9 9 7 5 5 4 4 5 6 6 6 5 6 7 9 10 9 8 8 8 9 8 8 9 10 10 10 10 11 11 10 9 9 10 11 12 12 11 10 9 7 6 5 5 5 5 6 8 10 11 11 12 12 11 12 12 12 11 11 10 10 10 10 10 11 10 10 10 11 10 9 9 11 12 13 13 12 11 10 10 10 10 10 11 11 nan
nan 8 8 8 9 9 10 10 10 10 10 10 9 8 8 8 8 8 9 11 10 8 3 -1 -4 -4 -1 3 7 9 10 11 11 11 13 16 20 25 25 21 17 14 12 10 10 11 12 11 11 11 11 11 10 10 9 9 8 7 6 6 6 6 7 8 8 7 6 8 13 18 21 21 17 13 12 12 13 14 16 17 18 18 19 20 21 22 23 24 24 21 17 14 13 13 12 12 11 10 9 9 9 8 8 8 7 6 6 6 7 7 7 8 9 11 13 13 13 11 11 12 12 11 10 8 7 7 8 11 12 13 12 9 8 8 9 10 11 11 10 9 7 5 4 4 5 6 7 9 11 12 12 11 11 11 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 14 18 21 20 17 14 11 10 10 10 10 10 10 10 11 nan
nan 8 8 9 9 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 9 5 -1 -4 -4 -1 3 7 9 10 11 11 12 12 14 19 25 26 23 19 15 12 10 10 11 12 11 11 11 11 10 9 8 8 8 7 6 6 6 6 6 7 8 9 9 10 14 18 20 19 16 12 10 9 9 10 11 13 15 17 19 21 22 23 24 25 25 23 20 18 17 17 18 19 19 19 19 17 15 13 11 11 11 11 10 10 9 9 9 10 11 13 14 14 14 13 12 13 14 14 13 11 9 8 8 10 12 13 11 8 7 7 7 7 7 7 8 7 6 4 4 5 7 8 9 10 11 13 13 12 11 11 10 10 10 10 11 12 11 11 11 10 9 9 10 10 11 11 11 13 16 18 17 14 11 8 8 9 9 9 9 10 10 10 11 nan
nan 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 9 10 10 10 9 3 -3 -6 -5 -1 3 7 10 11 11 12 12 12 13 19 27 29 26 21 15 12 11 11 11 11 12 12 11 10 8 7 7 7 8 7 6 7 7 7 7 8 9 9 10 11 12 13 12 10 8 7 7 7 7 7 8 9 10 12 15 17 17 18 18 19 18 17 16 17 19 22 24 26 28 28 27 24 22 21 20 19 17 14 12 11 10 9 9 10 11 12 12 11 10 10 11 13 14 12 11 9 9 8 10 11 11 10 7 6 7 8 8 7 7 7 7 6 6 6 8 10 11 12 13 13 14 14 13 12 11 10 10 10 9 10 11 11 11 11 10 9 9 9 10 10 10 11 12 13 14 12 8 5 4 4 8 9 9 9 9 10 10 10 11 nan
nan 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 10 10 8 1 -4 -6 -4 -0 4 7 10 11 12 12 12 12 14 22 30 31 29 22 14 12 12 12 12 12 12 12 11 9 7 7 7 8 8 8 8 9 8 8 8 9 9 9 9 10 9 8 6 4 2 1 2 4 5 6 7 8 9 11 12 13 12 12 12 12 12 12 13 16 18 22 25 28 29 29 27 25 24 25 25 22 18 14 11 9 8 8 9 10 11 10 10 8 8 9 10 11 10 9 8 7 8 9 11 11 10 8 6 7 8 9 9 9 10 9 9 9 10 12 14 14 14 13 13 14 14 13 12 11 10 10 9 9 9 9 10 10 11 11 10 10 10 10 10 10 10 10 11 12 11 9 7 7 7 8 10 10 10 10 10 10 11 11 11 nan
nan 9 9 9 9 9 9 8 9 9 10 10 10 10 10 10 9 9 9 9 9 6 0 -3 -5 -3 0 4 8 10 11 12 12 12 13 17 26 32 32 28 19 12 12 12 12 12 12 12 11 10 9 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 4 -0 -4 -4 -2 1 5 7 8 10 12 13 12 11 10 10 10 10 11 12 13 15 17 19 22 23 22 20 19 17 17 18 17 15 12 10 9 9 9 9 10 11 11 12 10 8 7 8 8 8 7 6 6 7 9 11 12 13 12 11 10 10 11 11 11 12 12 13 14 15 16 17 18 17 15 14 13 12 12 11 11 11 10 9 8 8 8 9 9 10 11 11 10 10 10 10 10 10 10 10 10 11 10 10 12 14 14 14 12 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 9 8 8 8 9 10 10 10 11 10 10 9 8 8 8 8 4 -1 -4 -5 -4 1 5 8 10 11 12 12 12 14 21 30 33 31 24 16 12 12 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 8 7 6 2 -4 -7 -6 -3 2 5 7 10 12 13 13 12 11 10 10 10 11 12 14 15 17 18 19 19 17 13 9 6 5 6 7 8 7 7 7 8 8 9 10 11 11 10 9 6 3 3 3 4 4 4 5 7 9 10 12 13 14 14 13 13 13 14 14 14 14 15 17 18 18 18 17 17 16 15 13 12 10 10 10 11 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 11 11 10 10 10 12 15 17 18 17 14 12 12 12 12 11 11 11 11 nan
nan 10 10 10 10 9 8 8 9 9 10 10 11 11 10 10 8 7 7 8 8 4 -1 -5 -6 -3 1 5 7 9 11 11 12 13 18 26 33 32 27 19 13 12 12 12 11 11 10 10 10 10 10 10 10 9 9 10 10 10 9 9 8 8 9 9 9 8 7 6 5 -1 -6 -6 -4 -1 3 6 8 11 14 14 13 12 11 10 11 12 14 16 17 18 19 19 18 15 9 3 -2 -4 -4 -1 1 3 3 3 3 4 5 7 9 8 6 2 -1 -5 -6 -5 -4 -3 -2 -0 2 6 8 11 13 14 15 14 14 15 16 17 17 17 17 17 17 16 15 14 12 12 12 12 11 11 10 10 10 11 10 10 9 9 9 9 9 10 10 10 10 10 9 10 10 11 11 11 11 11 10 11 12 14 16 18 18 16 15 13 13 12 12 12 12 12 nan
nan 10 10 10 10 10 9 9 9 9 9 10 10 10 10 9 8 7 7 8 7 5 1 -1 -3 -1 1 4 6 9 11 11 12 15 22 30 32 27 20 14 12 12 12 12 11 10 10 9 10 11 11 11 10 10 10 10 10 10 9 9 8 8 8 7 6 6 5 5 3 -2 -5 -4 -1 2 6 8 11 14 15 14 13 12 12 12 13 15 17 19 20 19 18 17 14 9 4 -1 -3 -3 -0 1 2 2 2 0 -1 -0 1 3 2 -0 -3 -6 -8 -8 -7 -5 -4 -5 -5 -4 -2 2 5 8 10 12 12 13 15 16 17 17 16 17 17 16 14 12 10 9 9 9 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 14 18 19 18 17 15 13 13 13 13 13 13 nan
nan 9 9 10 10 10 9 9 9 9 10 10 10 10 9 9 8 8 7 8 8 7 4 1 -1 -1 0 3 5 8 10 11 12 16 24 31 29 21 15 12 11 11 12 12 11 10 10 10 11 12 12 11 11 10 11 11 10 10 9 7 6 5 5 4 4 5 6 6 3 -2 -4 -3 1 5 7 10 13 16 17 16 14 14 14 14 15 17 18 19 18 16 15 14 12 8 6 6 6 8 8 7 6 5 4 3 2 3 3 2 -0 -3 -4 -4 -3 -1 2 3 2 1 0 -0 1 2 3 3 3 5 9 13 15 15 14 14 13 13 13 12 10 10 9 8 9 9 9 10 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 10 11 11 11 14 17 19 20 19 17 15 14 14 14 13 13 nan
nan 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 7 8 8 6 2 -1 -1 -1 1 4 7 9 10 12 16 25 29 25 19 14 11 10 10 11 10 10 10 11 12 13 13 12 11 10 10 11 11 9 7 3 -0 -1 -0 1 4 5 7 8 7 2 -2 -3 -2 2 6 8 10 14 20 21 19 17 16 16 16 16 16 16 16 14 12 11 11 10 10 11 12 13 13 13 12 11 10 10 9 9 9 9 7 5 4 4 5 6 8 9 9 9 9 9 9 8 7 5 3 4 8 13 16 16 14 12 11 10 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 14 15 17 20 20 18 17 16 15 15 15 15 nan
nan 10 10 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 8 8 9 8 6 3 0 -2 -2 -0 3 6 8 10 12 16 24 27 23 18 13 10 10 10 10 9 10 11 12 13 13 13 12 10 9 9 10 9 6 1 -5 -8 -6 -3 2 6 8 9 9 7 2 -2 -4 -1 4 6 8 11 18 24 25 22 20 17 16 15 15 15 14 13 11 9 9 9 10 11 12 13 13 14 14 15 15 14 14 14 13 13 13 12 11 11 11 11 11 11 11 12 13 15 15 15 13 11 9 9 12 17 19 18 14 11 10 9 9 10 11 11 10 10 10 10 10 10 10 9 9 9 9 10 11 12 13 14 13 12 12 11 10 10 10 11 11 11 11 11 11 11 11 12 12 12 13 13 13 13 13 13 16 19 21 22 21 20 20 20 19 17 nan
nan 11 11 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 9 8 7 5 1 -2 -2 -1 2 5 8 9 10 15 22 25 23 19 13 10 10 10 10 9 10 11 12 12 13 12 11 9 8 8 9 9 6 -0 -5 -6 -4 0 6 9 10 10 9 5 -0 -4 -3 1 5 7 9 13 21 26 26 23 20 16 14 13 13 13 12 11 9 8 8 9 10 11 11 11 12 13 14 15 16 17 17 17 17 18 18 17 16 15 14 14 14 15 16 18 20 22 20 17 14 12 12 14 17 19 18 15 11 9 8 8 9 11 12 12 11 10 10 11 11 10 10 10 9 9 10 11 12 13 14 14 13 12 11 10 10 10 10 11 11 11 11 11 11 11 12 12 13 13 14 14 14 14 13 13 15 18 21 25 28 29 29 27 25 23 nan
nan 10 10 10 10 10 10 10 10 10 11 11 12 11 11 10 10 10 10 9 9 8 8 6 2 -2 -3 -2 0 4 7 8 9 13 19 22 23 21 15 11 10 9 9 9 10 11 11 11 11 10 9 9 9 9 10 10 9 4 2 3 3 5 8 9 8 7 4 -0 -5 -6 -2 3 7 8 10 15 22 25 25 22 17 14 13 12 12 12 11 9 8 8 9 10 11 12 12 11 12 12 12 13 14 16 17 18 19 21 21 20 19 18 18 18 20 22 25 26 27 26 22 17 14 12 13 15 17 19 18 15 11 9 9 10 12 12 12 12 11 10 10 11 11 10 10 9 9 9 10 11 12 13 14 13 12 11 10 10 10 10 10 11 11 10 10 10 11 11 12 12 13 13 14 14 14 13 13 13 14 16 19 24 29 31 31 30 30 31 nan
nan 10 10 9 9 9 9 9 9 9 10 11 12 12 12 11 10 10 9 9 8 8 8 7 3 -1 -4 -4 -1 3 6 8 9 12 16 21 25 22 15 11 10 9 9 9 10 10 9 9 9 9 9 10 11 11 11 11 10 9 9 9 7 7 7 6 4 2 -2 -5 -6 -4 1 6 9 10 12 16 22 24 24 20 15 12 12 12 12 11 10 9 9 9 10 12 13 13 13 12 11 10 10 10 11 12 12 14 16 17 18 18 17 18 19 21 24 27 27 27 26 23 18 14 13 13 15 18 22 25 23 19 15 13 12 13 13 13 12 11 10 10 10 10 10 9 9 8 8 9 10 11 11 12 12 11 11 10 10 10 11 11 11 11 10 10 10 10 10 11 12 12 12 13 13 13 13 13 13 12 13 14 16 19 21 22 23 25 28 31 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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
284 244 212 189 175 169 160 135 109 81 62 51 44 42 39 37 34 32 23 19 19 19 14 8 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 1 2 2 2 3 4 4 6 9 15 20 25 30 36 44 51 58 63 65 64 56 50 46 43 41 35 32 29 29 29 30 31 32 34 38 39 42 43 43 44 46 47 45 44 48 54 59 61 61 64 73 70 69 71 74 83 97 104 102 93 89 98 108 110 101 88 90 107 128 147 186 230 250 325 493 666 809 865 868 822 704 575 484 430 392 351 319 305 307 308 293 284 297 318 346 368 376 359 311 250 207 186 178 203 307 504 679 742 721 713
254 220 197 181 171 159 139 111 78 55 43 37 32 28 26 29 22 17 17 14 11 11 9 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 2 3 4 5 5 6 5 6 11 18 22 25 29 34 42 49 52 49 43 33 21 12 11 11 10 12 13 14 15 16 18 20 22 23 26 29 32 34 36 36 40 43 43 42 43 47 50 52 53 54 59 61 60 63 69 73 80 87 106 112 123 131 134 127 108 86 82 84 94 111 138 162 172 187 261 431 557 645 708 706 663 603 548 484 427 376 338 330 351 370 342 321 308 302 315 343 381 389 373 339 284 234 211 225 277 351 425 516 573 660
239 223 208 188 167 134 102 73 50 39 33 29 26 22 19 20 18 11 5 3 4 4 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 4 4 5 6 6 6 8 13 18 21 23 28 32 37 36 32 24 15 9 3 1 1 0 1 0 2 3 4 5 5 6 7 10 13 15 18 21 24 25 28 31 35 37 37 39 41 43 44 46 48 49 50 54 60 64 67 69 90 108 121 134 146 146 134 118 99 86 85 102 130 155 160 158 167 191 230 291 350 390 427 464 470 455 444 441 442 446 446 471 478 467 426 372 351 354 379 379 368 377 365 319 283 265 287 304 367 438 525 668
256 250 225 186 142 100 69 47 33 28 25 22 19 17 14 14 13 10 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 2 5 7 8 8 7 10 14 17 21 25 30 31 26 16 7 3 1 1 0 0 0 0 0 0 0 0 0 0 0 1 1 2 3 5 7 8 11 14 17 20 24 26 26 27 28 31 34 37 39 41 43 47 52 59 62 60 72 88 101 120 152 162 162 154 140 123 111 110 120 142 164 173 170 162 158 164 181 207 227 272 312 349 393 455 522 544 566 622 673 679 620 536 484 459 442 419 394 388 400 379 337 297 317 351 374 404 495 658
288 271 222 164 113 76 59 41 23 14 13 11 10 8 7 7 6 6 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 0 0 0 0 0 0 0 0 0 2 5 7 8 9 7 8 10 13 18 21 20 15 9 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 2 4 5 8 10 11 14 15 17 19 23 28 31 35 39 42 46 53 58 60 64 71 80 97 131 154 177 194 190 168 143 125 121 128 146 173 185 177 166 151 141 147 163 183 207 237 272 317 466 561 620 674 724 742 732 655 588 558 530 503 489 479 455 428 381 343 342 339 321 340 439 581
302 262 204 145 95 61 47 28 11 3 2 2 2 2 1 0 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 0 0 0 0 0 0 1 3 4 5 5 6 4 3 4 6 8 9 5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 5 9 12 13 15 19 24 30 35 39 42 48 54 60 67 75 77 85 105 131 161 191 205 193 172 157 144 133 135 150 163 166 159 141 135 142 154 166 177 188 196 215 296 356 404 461 528 560 579 584 578 578 573 558 549 538 505 490 455 422 389 337 292 313 394 477
286 230 172 116 71 39 22 12 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 3 3 2 2 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 3 6 9 12 15 20 26 31 37 41 45 50 58 73 87 84 87 96 108 124 144 160 170 168 166 159 148 140 141 146 146 133 117 124 150 176 191 193 197 193 192 199 217 239 261 318 360 395 433 470 500 523 536 545 569 559 547 533 515 476 379 339 349 381 406
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