Vorticity
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
nan 7 7 7 7 7 8 8 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 6 5 6 7 7 8 8 9 10 13 16 19 21 22 22 20 18 15 13 12 11 11 11 11 11 11 11 11 11 10 10 10 9 9 8 8 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 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 14 15 16 17 16 14 12 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 8 7 7 7 7 8 8 8 9 9 9 10 10 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 5 5 5 5 6 7 8 11 14 16 18 19 19 19 18 16 14 13 12 11 11 11 11 11 11 11 10 10 9 9 9 8 8 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 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 11 11 10 10 10 10 10 10 11 11 11 12 13 14 15 16 16 16 16 14 12 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 10 10 nan
nan 8 7 7 7 8 8 8 8 8 9 10 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 6 5 5 5 5 5 6 7 9 10 11 11 12 13 14 15 15 14 13 13 12 11 11 10 10 10 10 9 9 9 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 8 8 8 7 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 9 10 10 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 12 13 14 15 16 17 17 16 14 12 10 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 11 8 8 8 9 8 8 8 8 8 9 10 11 10 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 6 7 7 8 7 6 5 6 7 6 7 8 9 11 13 14 13 13 12 12 11 10 10 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 7 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 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 11 11 11 11 12 13 15 16 17 17 16 14 12 11 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 nan
nan 13 10 8 9 9 9 8 7 7 7 8 10 12 12 11 10 9 9 8 8 8 8 9 9 9 9 9 9 9 8 7 8 9 11 11 11 8 7 8 9 9 10 11 11 11 12 12 12 11 11 11 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 7 8 8 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 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 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 11 12 13 15 16 17 17 16 15 13 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 9 9 10 10 10 nan
nan 16 12 9 9 9 9 9 8 7 8 9 12 15 16 15 14 12 10 9 8 8 8 8 9 9 10 10 9 8 7 7 8 10 12 14 14 14 15 18 21 22 21 19 16 13 11 10 10 10 10 10 9 9 8 8 7 7 8 8 8 8 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 8 8 9 9 9 9 9 9 9 10 10 9 9 9 9 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 11 12 13 14 16 16 17 16 15 13 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 10 10 nan
nan 16 12 9 9 9 9 9 9 9 10 13 17 20 21 21 19 16 13 10 9 8 8 8 8 9 9 9 8 7 7 6 7 8 10 12 15 20 25 30 32 33 30 24 17 13 11 10 10 9 9 9 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 8 8 9 9 8 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 12 13 14 15 16 17 16 15 13 12 11 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 10 10 nan
nan 15 11 9 8 8 8 8 9 10 12 16 19 22 23 23 21 19 17 14 11 10 9 9 9 8 8 8 8 7 7 7 6 6 7 9 14 21 28 32 33 32 27 20 14 11 10 10 10 9 9 8 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 13 14 15 16 16 15 14 13 11 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 nan
nan 14 10 7 6 6 6 7 9 10 13 15 16 16 17 18 19 20 19 17 15 14 13 12 11 10 10 10 11 11 10 9 8 7 6 8 12 17 22 25 25 23 19 14 11 10 10 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 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 9 9 9 9 9 9 9 9 9 9 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 10 9 10 10 11 11 11 11 11 11 12 12 14 15 15 16 16 15 13 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 nan
nan 12 8 5 3 2 3 5 9 12 15 14 11 8 8 11 15 19 20 19 18 17 17 16 15 14 13 14 15 15 14 13 11 9 7 8 10 12 14 16 16 15 13 11 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 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 10 9 9 10 11 11 11 11 11 11 11 11 12 13 14 15 16 16 15 14 13 12 11 10 10 10 10 9 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 nan
nan 9 5 1 -1 -0 3 7 12 16 16 12 8 5 5 8 12 16 17 18 18 19 19 19 18 16 15 15 15 15 15 13 12 10 9 8 8 8 9 10 11 11 10 9 8 8 8 8 9 9 10 10 10 10 9 9 9 10 10 11 11 10 10 10 10 10 11 11 11 11 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 9 8 9 10 11 11 11 11 11 11 11 12 12 13 14 15 16 16 15 15 13 12 11 10 10 9 9 9 9 10 10 10 10 10 10 9 9 9 9 10 10 10 10 10 10 10 nan
nan 6 1 -1 -2 -1 4 11 17 19 14 9 6 4 5 8 10 12 13 14 15 16 17 17 17 16 14 13 12 11 11 10 10 10 9 8 7 6 7 8 10 10 9 9 8 8 8 8 9 10 10 11 11 11 10 10 10 10 11 11 11 10 10 10 10 10 10 11 11 11 11 10 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 9 7 8 9 10 11 11 11 11 11 11 11 12 13 14 15 15 15 15 15 15 13 12 11 10 10 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 nan
nan 4 0 -2 -3 -1 4 12 17 16 10 6 4 4 6 7 7 8 8 10 11 12 12 13 13 12 11 9 8 7 6 6 7 7 8 7 6 7 8 10 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 10 10 11 11 10 10 10 10 10 9 9 10 11 11 11 11 10 9 9 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 11 12 12 12 11 11 12 13 13 14 14 15 15 16 15 15 14 12 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 nan
nan 5 3 -0 -2 -2 1 8 11 9 6 3 3 4 6 6 5 5 6 7 8 8 9 8 8 8 8 7 6 6 5 5 5 6 6 6 7 7 9 11 13 13 12 11 10 9 9 10 11 11 12 12 11 11 11 11 10 10 10 9 9 9 9 9 9 9 10 11 11 11 11 11 10 10 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 8 9 9 11 12 12 12 11 11 12 13 14 14 14 14 15 15 15 15 15 14 13 12 11 11 10 10 10 10 10 10 10 9 9 10 10 10 10 10 11 11 11 11 nan
nan 8 6 4 2 -0 -0 2 4 3 3 4 5 7 7 7 6 5 6 6 7 7 7 7 7 7 7 7 8 10 10 10 8 8 7 7 7 8 10 13 14 14 13 11 10 10 10 10 11 11 12 11 11 10 10 10 9 8 7 6 6 7 7 8 8 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 10 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 9 10 11 12 12 12 12 13 13 13 13 14 14 14 15 15 15 15 15 15 14 13 12 11 10 9 9 10 10 10 9 9 9 9 9 10 10 10 11 10 11 nan
nan 10 9 8 6 3 1 -1 1 3 7 11 14 14 13 11 10 8 7 7 7 8 9 10 10 11 11 11 12 14 16 16 14 12 10 8 8 9 12 14 14 14 13 11 10 10 10 10 11 11 11 11 10 9 9 9 8 7 5 5 4 4 5 6 8 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 11 12 13 12 12 11 11 12 13 13 14 15 15 15 15 15 15 14 13 12 11 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 nan
nan 10 10 11 10 7 4 1 3 8 15 22 27 26 21 17 14 11 9 9 9 10 12 13 14 15 15 15 15 17 20 20 18 15 12 10 10 11 13 14 15 14 13 11 10 10 10 10 10 10 10 10 9 9 8 7 7 5 4 4 3 3 4 6 7 8 9 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 9 9 8 8 8 8 7 7 7 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 8 8 9 10 12 12 11 11 10 10 11 11 12 13 14 15 15 15 15 15 15 15 14 13 12 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 nan
nan 9 10 11 11 9 7 6 8 13 21 29 33 32 26 21 16 12 10 9 10 11 13 14 16 16 17 16 17 19 20 20 19 16 13 11 11 12 13 15 15 15 13 11 10 10 10 10 10 10 9 9 8 7 6 5 5 4 4 4 5 5 6 7 7 8 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 8 8 8 8 7 7 7 7 8 8 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 9 9 8 8 9 10 11 11 11 11 10 9 10 10 11 12 13 14 15 15 15 15 15 15 15 14 13 12 11 11 11 11 11 11 10 10 10 10 10 11 11 nan
nan 8 8 9 9 9 8 9 12 18 24 29 29 26 22 18 14 11 9 9 9 10 11 13 14 15 16 16 18 19 20 20 19 16 13 11 11 12 13 14 15 15 14 12 11 10 10 10 9 9 8 8 7 5 4 3 3 4 4 6 7 8 8 8 8 8 9 9 9 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 10 11 11 10 10 9 9 10 11 12 12 13 13 13 14 15 15 16 16 15 14 13 12 12 11 11 11 11 11 10 10 10 11 11 nan
nan 7 6 6 7 8 9 11 16 21 25 25 21 17 14 12 10 9 8 7 8 9 10 11 12 13 14 15 16 19 20 21 19 16 13 11 11 12 13 14 15 15 14 12 11 11 10 10 9 8 8 7 5 3 2 2 3 5 6 8 11 12 13 12 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 8 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 7 7 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 11 11 11 12 13 14 15 15 16 16 16 15 14 13 12 12 11 11 11 11 10 10 11 11 nan
nan 8 6 6 5 6 7 10 16 21 25 22 15 11 9 8 7 7 7 7 7 8 9 10 11 12 12 12 15 18 20 21 19 16 13 11 11 12 13 14 14 15 14 13 11 11 11 10 9 8 7 5 3 1 1 2 4 6 9 12 15 16 17 15 13 10 8 8 8 8 8 8 8 8 8 7 7 7 7 7 8 9 10 10 10 10 10 10 10 9 9 9 9 8 8 8 8 8 7 7 7 7 7 6 6 6 7 7 8 8 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 12 11 10 10 10 11 12 12 13 13 14 15 16 16 15 14 14 13 13 12 12 11 11 10 10 10 11 nan
nan 10 8 7 6 5 6 9 15 20 23 19 13 9 7 6 6 6 7 7 8 9 10 10 10 10 9 10 14 18 20 20 18 15 12 11 12 12 13 13 14 15 14 13 12 11 11 10 10 8 6 4 2 -0 -0 1 4 8 13 17 20 21 20 17 13 10 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 9 9 10 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 7 7 6 6 7 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 12 11 10 10 11 12 11 11 11 12 14 15 15 14 14 13 13 13 13 13 13 12 11 10 11 11 nan
nan 12 10 9 8 8 9 11 15 18 20 17 12 9 7 6 6 6 6 7 8 9 10 10 9 7 6 9 14 18 19 17 14 12 12 12 12 12 13 13 15 15 15 14 13 12 11 10 9 7 5 2 0 -1 -1 1 6 13 20 24 26 26 23 18 13 10 9 9 9 9 9 9 9 9 8 8 7 7 7 7 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 9 8 7 7 7 7 7 7 8 8 9 9 9 9 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 10 11 12 11 11 10 10 11 11 10 10 10 12 13 13 13 12 11 12 12 13 13 13 14 14 12 12 12 12 nan
nan 12 11 10 10 10 11 13 16 17 16 15 12 9 8 7 7 6 6 7 8 10 11 10 8 6 7 11 15 17 17 14 10 10 11 12 12 13 13 14 15 16 16 15 14 13 12 10 8 6 3 1 -0 -1 -0 4 9 17 25 30 31 29 24 17 12 10 9 9 9 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 9 9 8 8 7 7 7 7 7 7 8 8 8 9 9 9 9 8 8 8 8 8 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 10 10 11 11 10 10 10 10 10 10 10 11 12 12 12 12 10 10 10 11 12 12 13 13 13 13 12 12 12 nan
nan 10 9 9 9 11 13 15 16 16 14 12 11 9 9 8 8 7 6 6 7 8 9 8 7 8 10 13 15 14 13 11 9 10 11 12 12 13 13 14 15 16 16 16 15 13 12 10 8 5 2 1 1 2 5 8 13 19 25 29 29 27 21 15 11 10 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 7 7 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 11 11 10 10 10 10 10 11 11 10 10 10 10 10 9 9 10 10 10 11 11 12 12 12 12 11 10 10 10 11 11 12 12 12 12 12 12 12 13 nan
nan 10 9 8 9 10 12 14 15 14 13 11 10 10 9 9 8 7 6 5 5 4 4 4 6 10 13 14 13 11 9 9 10 10 11 12 12 12 13 14 15 16 16 16 15 14 12 10 8 5 2 1 3 6 9 12 15 18 21 24 23 21 17 13 11 9 8 7 7 7 8 8 8 8 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 9 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 nan
nan 10 10 10 10 10 11 12 10 10 10 10 10 9 9 8 8 7 6 4 1 -0 -1 2 9 14 15 14 11 8 7 9 10 11 11 12 12 12 13 14 15 15 15 15 14 13 11 10 8 5 3 2 4 8 11 13 14 15 16 18 17 15 13 12 10 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 9 9 8 8 8 8 8 8 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 11 11 11 10 10 11 11 11 10 10 9 9 10 10 11 11 11 11 11 12 12 11 11 12 12 13 12 12 12 13 12 12 12 12 12 12 12 nan
nan 10 11 11 12 12 11 10 8 6 7 7 8 8 8 7 6 6 4 2 -0 -1 1 8 16 18 17 13 9 8 8 9 11 11 12 12 12 12 13 14 14 14 15 14 13 12 11 10 8 6 4 4 6 9 11 12 13 13 13 14 13 12 11 10 9 8 8 8 8 8 8 8 8 8 8 8 7 7 8 8 9 9 9 8 8 8 8 8 8 8 9 8 8 8 8 8 8 9 9 9 9 8 8 8 7 7 7 7 7 8 8 9 9 9 9 8 8 9 9 9 8 8 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 10 9 9 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 11 12 13 14 14 14 13 14 14 13 13 13 13 13 12 12 nan
nan 10 10 10 11 12 12 13 12 10 8 7 6 6 6 5 4 4 3 2 0 2 8 16 21 19 16 12 9 8 9 10 11 12 12 12 12 12 12 13 13 14 14 14 13 12 11 10 8 7 6 6 8 9 10 11 11 11 11 11 10 10 9 9 9 8 9 9 9 8 8 8 8 8 8 7 7 7 7 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 10 10 9 9 9 9 10 11 11 11 10 10 10 10 10 10 10 9 9 8 9 10 12 14 15 15 15 15 15 15 15 15 14 14 13 13 13 nan
nan 9 9 9 10 12 16 19 20 19 15 11 7 5 4 3 2 2 3 4 4 8 14 19 19 16 13 10 9 9 10 10 10 11 11 12 12 12 12 12 12 13 13 13 13 12 11 10 9 8 7 7 8 9 9 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 8 8 8 8 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 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 9 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 9 9 9 8 8 10 12 14 15 14 14 14 16 16 16 16 16 15 15 15 15 nan
nan 11 10 11 14 17 22 26 27 25 21 15 9 5 2 1 1 3 6 8 10 12 15 15 14 12 10 9 9 10 10 9 9 10 11 11 11 12 12 12 12 12 12 12 12 12 12 11 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 7 7 7 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 10 10 10 9 8 7 6 7 8 8 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 11 10 10 10 10 9 8 8 9 10 11 12 12 12 13 15 16 16 16 16 17 17 18 19 nan
nan 14 16 18 20 22 24 25 25 23 20 15 9 4 1 1 3 7 10 13 14 13 13 12 10 9 9 9 10 10 10 9 9 9 10 11 11 11 11 11 11 11 11 11 12 12 12 12 11 10 9 9 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 10 10 10 10 9 7 6 6 7 8 8 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 10 9 9 9 10 10 9 9 9 10 11 12 13 13 14 14 15 16 17 18 nan
nan 17 21 24 25 23 21 19 19 17 15 12 7 3 1 2 5 10 14 15 14 12 10 9 9 9 9 10 11 11 11 10 9 9 9 10 11 11 11 11 11 11 11 10 11 11 12 12 12 11 10 9 8 8 8 8 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 8 8 8 8 8 8 8 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 9 10 10 10 10 9 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 12 12 12 11 10 10 10 10 10 9 8 9 9 9 10 10 10 10 11 12 12 13 13 nan
nan 18 21 23 22 19 16 14 13 12 11 9 6 3 3 4 7 11 14 14 12 10 8 8 8 9 10 11 11 11 11 10 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 12 12 12 11 10 9 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 8 8 9 9 9 9 9 10 10 10 9 9 9 8 8 8 8 9 9 10 10 9 8 7 6 6 7 7 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 12 13 13 13 12 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 nan
nan 15 17 18 17 14 12 11 10 9 8 7 6 5 6 7 8 10 12 12 10 8 7 7 8 9 10 10 10 10 10 10 10 10 10 10 9 10 10 10 11 11 10 10 10 10 10 11 11 11 11 10 9 9 9 10 10 10 10 10 9 8 8 8 8 8 8 9 9 9 8 9 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 9 8 8 8 8 9 9 9 9 8 7 7 7 7 7 8 8 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 11 11 11 12 13 13 12 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 nan
nan 10 11 12 11 11 10 9 9 8 8 7 7 7 7 7 8 9 10 10 9 8 7 7 7 8 9 10 10 10 10 10 10 10 10 9 9 9 10 10 11 11 11 10 10 9 10 10 11 11 10 10 9 9 10 11 11 11 11 10 9 9 8 8 8 9 9 9 9 9 8 8 9 9 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 9 9 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 8 8 7 7 7 7 7 8 8 8 9 9 9 9 10 9 10 10 10 10 10 10 10 9 9 10 10 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 11 12 13 13 12 11 11 10 10 10 10 10 10 10 11 11 11 10 10 9 9 8 9 9 9 9 nan
nan 7 9 9 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 10 9 9 8 8 7 8 9 9 9 10 10 10 10 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 10 9 9 9 9 9 9 9 9 8 8 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 10 10 10 10 11 11 12 12 12 12 13 12 11 11 10 11 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 9 9 9 9 10 nan
nan 12 13 12 10 9 8 8 9 9 9 8 8 8 8 7 7 7 8 8 9 9 8 8 7 8 8 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 11 11 10 9 9 9 9 9 9 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 9 9 9 8 8 8 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 9 9 9 10 10 11 11 11 10 10 10 10 11 11 11 12 12 13 12 12 11 10 10 11 11 11 11 10 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 nan
nan 17 19 18 15 12 10 9 10 10 10 10 10 9 9 8 7 7 7 7 8 8 8 7 7 8 8 8 9 10 10 10 10 10 10 10 9 9 10 10 10 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 9 9 9 8 8 8 8 8 9 9 9 9 10 10 10 10 10 10 10 10 9 9 10 10 10 10 10 9 9 9 9 9 9 8 8 8 8 8 9 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 10 11 11 11 10 10 11 11 10 10 10 11 12 12 12 11 10 11 11 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 nan
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nan 13 13 13 13 13 13 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 13 13 13 14 14 14 13 13 12 12 12 14 16 18 19 18 17 15 14 14 14 14 13 13 13 14 16 17 20 18 12 8 4 3 5 8 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 11 11 11 11 11 10 10 nan
nan 13 13 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 13 13 13 13 13 13 12 12 12 12 12 12 12 12 12 13 14 15 16 16 15 15 15 15 15 15 14 14 14 14 15 17 20 19 16 12 6 3 5 7 10 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 10 nan
nan 13 13 13 13 13 12 12 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 10 11 11 11 11 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 13 13 13 13 13 14 14 14 14 14 14 14 13 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 10 11 12 11 11 11 11 12 13 14 14 15 15 15 16 15 15 14 14 14 16 18 19 17 15 10 5 6 7 10 12 12 12 11 11 11 11 11 11 11 11 12 11 12 11 11 11 11 11 11 11 11 10 10 9 9 9 10 10 11 11 11 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 nan
nan 14 14 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 11 11 11 12 12 12 12 12 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 14 14 14 14 13 13 13 13 12 13 12 12 12 11 11 10 10 9 8 8 9 10 10 11 11 11 10 9 10 11 12 13 14 14 15 15 15 15 14 13 14 15 17 18 17 15 10 7 7 8 10 12 12 12 12 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 11 11 11 11 10 9 9 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 10 10 10 10 10 10 11 11 11 11 nan
nan 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 12 12 12 12 13 13 13 13 13 13 13 12 12 12 12 13 13 13 13 12 12 12 12 12 11 10 10 10 10 10 11 10 10 9 9 10 11 12 13 13 14 14 15 14 14 13 14 15 17 18 16 13 9 7 8 9 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 12 12 11 11 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 nan
nan 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 12 12 12 12 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 13 14 14 13 13 14 14 14 13 11 10 10 11 11 11 10 8 7 7 9 10 11 11 12 12 13 13 14 14 14 15 16 18 19 17 13 9 8 9 11 12 13 12 12 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 nan
nan 14 14 14 14 14 14 13 13 13 13 13 13 13 12 12 12 12 12 11 11 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 11 11 12 12 13 13 14 14 14 14 14 14 12 11 10 11 12 13 14 13 11 9 8 8 9 10 11 12 12 12 12 13 13 14 15 16 18 18 17 14 12 11 11 12 13 13 13 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 14 14 14 14 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 14 14 14 14 14 13 13 13 14 16 17 17 16 14 12 11 10 10 11 12 12 12 12 13 14 15 15 15 16 16 15 14 14 13 13 13 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 nan
nan 13 13 13 13 13 13 13 13 12 12 12 12 11 11 11 11 10 11 11 11 12 12 12 12 11 12 11 11 12 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 12 12 12 13 13 13 14 14 15 16 17 17 16 16 17 18 18 18 16 15 14 13 11 11 12 12 12 13 14 15 16 16 16 15 14 13 13 14 14 14 14 13 13 13 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 13 13 13 13 13 13 13 13 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 12 11 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 13 14 16 16 16 16 15 15 15 15 15 15 14 13 13 12 13 13 12 13 14 16 17 17 16 14 12 12 12 13 14 14 13 13 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 10 10 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 11 11 11 11 11 10 10 10 11 13 14 14 14 13 13 13 13 13 13 14 14 14 14 14 13 13 13 15 17 19 18 15 12 10 10 11 12 13 13 13 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 11 11 11 11 10 10 10 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 14 14 14 13 13 12 11 11 11 11 10 10 10 11 11 10 10 9 8 8 9 11 12 13 13 13 13 13 13 13 13 14 15 16 16 16 15 14 15 18 19 19 16 12 10 9 9 10 12 13 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 11 11 11 11 11 11 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 13 13 14 14 14 13 13 13 13 14 14 14 14 14 14 14 14 13 13 13 12 11 10 11 11 11 11 10 8 7 8 9 11 12 13 13 13 13 13 13 13 14 16 17 18 17 16 16 18 20 20 18 14 10 8 8 9 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 10 10 10 10 10 9 9 9 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 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 13 13 13 13 13 13 13 13 13 13 13 13 13 13 14 15 15 15 15 14 13 12 12 14 14 15 14 11 10 9 9 10 12 13 14 14 14 13 13 13 15 16 17 18 17 17 17 18 19 18 15 11 8 8 8 10 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 12 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 13 14 15 15 15 14 14 14 15 16 18 18 16 14 11 10 11 12 13 14 14 14 13 14 14 15 17 18 18 17 16 16 16 15 13 10 7 7 7 9 11 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 9 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 11 11 11 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 11 12 12 13 13 13 14 14 15 17 19 19 18 17 14 12 12 13 14 14 14 14 14 15 16 17 17 18 17 16 15 14 12 10 7 4 3 4 7 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 9 9 9 9 8 8 9 9 9 9 10 10 11 11 10 10 10 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 9 10 10 10 11 11 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 11 12 13 15 17 19 18 17 15 13 13 13 14 14 14 15 16 18 19 19 19 17 16 15 14 12 9 5 3 2 2 4 7 10 11 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 10 10 10 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 10 10 9 9 8 8 8 8 8 9 9 9 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 9 7 6 5 6 6 8 10 14 16 17 17 15 13 12 13 14 14 14 15 16 18 20 20 20 19 17 16 15 13 11 7 3 1 0 2 5 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 11 11 11 10 10 10 11 11 10 10 10 9 9 8 8 8 8 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 13 13 13 13 13 13 14 13 13 13 12 12 12 12 12 11 10 9 8 6 5 5 5 9 13 16 17 16 13 12 12 13 14 14 14 16 17 19 20 20 20 18 17 15 14 12 9 5 1 0 0 3 7 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 nan
nan 11 11 11 11 11 11 11 11 10 10 11 11 11 11 11 11 10 10 10 9 9 8 8 8 8 9 9 10 11 12 11 11 11 11 11 11 12 12 12 12 12 11 11 11 12 12 12 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 12 12 12 12 12 13 13 13 14 14 14 13 13 12 12 12 12 12 12 13 13 12 12 11 10 12 14 16 17 15 12 11 12 12 13 13 14 15 16 16 17 18 19 18 17 15 14 11 8 4 0 -1 0 4 8 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 nan
nan 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 10 10 10 11 11 11 12 12 12 12 13 13 13 13 13 13 13 13 12 12 13 15 16 17 17 17 16 16 16 17 16 15 12 11 12 12 13 14 14 13 12 12 14 17 19 18 17 15 12 10 7 4 0 -1 1 4 8 9 10 10 9 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 nan
nan 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 10 10 11 11 11 11 11 12 12 12 12 11 11 12 12 12 13 13 14 14 13 13 12 12 12 12 12 11 11 10 10 10 10 11 11 11 11 11 11 11 12 13 13 14 13 13 13 13 13 14 15 16 17 17 16 16 17 18 18 17 14 12 11 12 13 14 15 15 13 12 10 12 16 17 17 15 13 10 8 5 3 -0 -1 1 5 8 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 11 10 11 11 11 11 11 11 nan
nan 12 12 12 12 12 12 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 12 12 12 11 11 11 11 11 12 12 13 13 13 13 13 13 13 13 14 14 15 15 16 17 18 19 19 17 13 11 11 11 13 16 17 17 16 15 13 13 14 14 14 13 11 9 6 4 1 -1 -0 2 5 8 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 12 11 11 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 nan
nan 11 12 12 12 11 11 11 11 11 10 10 10 10 10 10 11 12 12 13 14 14 14 13 13 13 12 12 13 13 13 13 13 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 11 12 12 12 12 12 13 13 13 13 13 13 13 13 12 12 12 12 12 12 11 11 11 12 12 12 12 12 12 12 12 12 12 13 13 15 17 19 21 22 22 19 16 12 11 11 12 14 16 17 19 19 18 17 15 14 13 13 12 11 9 5 2 -0 -1 2 4 7 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 12 12 nan
nan 11 11 11 11 11 11 11 11 10 10 10 10 11 12 13 13 14 15 15 15 15 14 13 13 13 13 14 15 15 15 14 14 14 14 14 14 14 14 14 14 14 14 14 13 13 13 13 13 13 13 13 14 14 14 15 15 15 15 14 14 14 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 14 16 20 24 26 27 24 19 15 12 11 11 12 13 15 16 18 20 21 20 17 15 14 13 12 11 8 5 2 -0 1 5 7 8 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 10 10 10 10 11 11 11 11 nan
nan 11 11 11 11 11 12 12 12 12 12 12 12 13 14 14 14 15 15 15 14 14 13 13 14 14 15 16 16 16 16 15 15 14 14 14 14 14 13 13 14 14 14 14 14 14 13 13 13 13 13 13 14 14 15 15 15 14 14 13 13 13 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 12 14 16 19 22 25 26 23 17 14 11 11 12 13 13 13 14 17 20 22 22 20 17 14 12 11 10 7 5 3 3 4 7 8 9 10 10 10 9 9 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 11 10 10 9 8 9 10 10 11 11 nan
nan 12 12 13 13 14 15 15 15 15 15 14 14 14 14 13 13 13 13 13 13 13 13 14 14 15 15 15 15 15 15 14 14 13 13 13 12 12 12 12 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 12 11 11 11 11 12 12 12 12 12 12 12 12 13 14 16 19 21 22 19 15 13 11 12 13 13 12 12 13 15 19 21 22 22 19 16 13 10 8 7 5 5 6 7 8 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 12 12 11 11 10 10 10 10 10 10 10 nan
nan 14 15 15 15 15 16 15 15 15 15 14 13 12 11 11 11 11 11 11 11 12 12 13 13 13 12 12 12 12 12 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 13 13 14 15 17 19 19 16 13 12 11 12 12 12 12 12 12 13 16 17 19 20 19 17 15 11 9 7 7 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 10 10 10 11 11 11 12 12 11 11 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 11 11 11 11 11 11 11 12 12 12 12 12 13 13 13 13 13 12 11 10 10 10 10 nan
nan 15 15 15 14 14 13 12 12 12 12 12 11 10 9 9 8 8 8 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 11 11 11 12 12 12 13 13 14 14 16 17 16 14 13 12 12 12 12 12 12 11 11 12 13 13 14 15 16 16 16 14 12 10 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 10 10 10 11 11 12 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 11 11 12 12 13 13 13 12 11 11 10 10 10 nan
nan 13 12 12 11 10 10 9 9 9 10 10 10 10 10 9 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 12 12 12 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 11 12 12 13 13 13 14 15 15 14 13 13 13 13 13 12 12 12 11 11 11 11 11 11 12 13 13 14 14 13 12 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 11 11 11 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 12 11 11 11 11 10 10 10 10 11 11 11 11 11 10 10 10 10 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan 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 0 0 0 0 1 2 4 5 6 8 14 23 29 31 33 28 20 12 5 0 0 0 0 4 14 19 12 7 9 21 44 52 51 47 50 67 95 116 124 114 77 35 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 8 19 31 54 87 132 186 250 318 399 474 556 651 748 803 830 836 822 771 780 801 788 720 602 546 523 507 481 436 372 312 267 247 248 206 145 95 55 24 10 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 1 1 1 2 3 6 13 18 22 26 27 24 19 11 3 0 0 1 7 16 24 17 10 9 15 23 22 18 16 19 33 61 96 122 125 94 45 11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 12 24 37 55 80 116 165 223 285 359 452 557 654 725 776 812 824 855 880 869 803 686 599 546 507 467 416 362 313 277 257 253 228 177 131 92 59 33 18 10 7 7 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0
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