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 3 4 5 5 4 4 3 3 4 4 5 7 8 9 10 9 9 9 8 6 5 5 5 4 3 4 6 9 13 17 18 17 14 11 8 7 7 8 9 8 7 6 6 6 5 6 6 6 6 8 9 9 8 7 7 7 7 8 8 9 9 9 8 8 8 7 7 6 6 6 7 7 7 8 8 8 8 7 8 8 9 9 10 10 9 8 8 8 9 10 10 9 10 10 10 10 10 11 11 10 9 9 8 8 7 8 8 8 9 9 9 8 8 9 9 10 10 11 12 12 12 12 11 11 10 10 9 8 7 6 5 5 4 4 4 5 5 5 5 5 5 6 7 8 7 6 5 5 6 6 7 7 7 8 9 9 9 8 8 7 7 7 8 8 9 10 10 9 8 8 8 8 8 8 8 9 8 8 7 7 7 7 7 7 7 nan
nan 3 3 4 4 3 2 2 3 3 4 5 6 6 7 8 8 8 8 8 7 6 6 5 4 5 7 10 13 17 20 21 19 16 12 9 7 6 7 8 8 7 6 6 5 4 4 6 7 7 9 10 10 10 10 10 9 8 8 9 11 12 11 10 9 8 8 7 7 6 7 7 7 7 7 7 6 6 6 6 7 8 9 10 10 9 8 8 8 9 9 10 10 10 10 10 10 10 11 11 10 9 9 9 8 8 8 8 8 9 9 9 9 9 10 11 11 11 11 11 11 11 11 11 11 10 9 8 7 7 6 5 4 4 4 5 6 6 6 7 7 8 8 9 10 10 9 8 7 6 6 7 7 7 7 8 9 10 9 9 8 8 7 7 7 9 10 10 9 8 8 8 8 8 8 8 8 8 7 6 7 7 8 8 8 7 nan
nan 3 3 3 3 2 1 2 3 4 5 5 5 6 6 7 7 8 8 8 7 6 6 5 4 5 7 10 14 19 23 23 21 17 13 10 8 7 7 8 8 7 6 6 5 4 4 5 6 8 9 9 9 10 11 13 12 11 11 12 13 13 12 10 8 8 8 9 9 8 7 7 7 7 6 5 5 5 6 5 5 6 7 9 9 9 9 8 8 8 9 9 9 10 10 10 10 9 10 10 10 10 10 10 10 9 8 8 8 9 9 10 11 10 10 11 11 11 11 11 10 9 9 9 9 8 7 7 7 7 6 6 5 5 5 6 7 8 8 8 8 9 9 10 10 10 9 8 7 6 7 7 7 7 7 8 8 9 10 10 9 9 8 7 7 8 9 10 9 8 8 8 8 8 8 8 8 8 6 6 6 7 8 8 8 8 nan
nan 4 4 4 3 2 2 2 3 5 5 6 5 5 5 6 6 7 8 8 8 7 5 4 3 4 5 8 13 19 23 24 21 16 14 12 10 8 8 9 8 6 5 6 6 6 5 5 6 7 8 8 8 9 12 14 15 15 15 15 15 14 12 9 8 8 9 10 10 9 8 8 8 7 6 6 5 5 6 6 6 6 6 7 8 8 9 9 9 8 9 9 9 10 11 10 10 9 9 9 10 10 10 11 10 10 9 8 8 9 10 11 12 11 10 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 8 7 6 6 7 7 8 8 9 9 9 9 10 10 10 10 9 8 7 7 8 8 8 7 7 7 7 8 8 9 9 9 9 8 7 8 8 9 9 9 9 8 8 8 8 8 8 7 6 6 6 7 8 8 8 8 nan
nan 5 5 5 5 4 4 4 5 6 6 6 5 5 5 5 5 6 6 7 7 6 5 2 1 1 2 4 10 17 23 24 20 15 13 13 11 9 9 9 8 5 5 6 6 6 6 6 7 8 8 8 9 10 13 16 17 17 17 16 15 14 12 10 9 9 10 10 10 10 9 8 7 7 7 7 6 6 6 6 6 6 6 7 7 8 8 9 9 9 9 9 9 10 11 11 10 9 9 9 10 10 11 11 11 10 9 9 9 9 10 12 12 11 10 8 7 7 7 7 8 8 8 7 7 6 7 9 10 10 9 8 7 7 7 8 8 8 8 8 8 8 9 10 10 9 8 7 7 8 9 9 9 8 8 7 7 6 6 6 7 7 8 8 8 8 8 8 8 9 9 8 8 8 8 8 8 7 7 7 7 8 9 9 9 9 nan
nan 6 7 7 7 7 7 7 7 7 7 6 5 4 4 4 4 4 4 4 5 4 3 1 -1 -1 -1 1 7 16 22 23 19 15 13 12 11 10 9 9 8 6 4 5 5 6 7 8 8 8 9 10 12 13 14 16 17 16 15 14 14 13 12 11 11 10 10 10 10 9 8 7 6 6 6 7 6 5 5 6 6 6 7 7 7 8 9 9 9 9 9 9 9 10 11 10 10 9 9 9 10 10 10 11 11 10 10 10 10 10 10 11 12 11 10 9 7 6 7 7 8 8 8 7 7 7 7 8 9 9 8 7 7 7 8 8 8 7 7 6 7 8 9 10 10 9 8 8 8 9 9 9 9 8 8 7 7 7 6 4 4 4 5 6 7 7 7 7 7 8 8 8 8 8 8 8 8 8 8 7 7 8 9 10 10 10 nan
nan 8 9 9 9 9 9 9 9 8 7 5 4 4 4 3 2 1 1 1 1 1 0 -1 -2 -2 -1 1 8 17 22 24 21 17 13 12 11 10 9 10 9 6 4 4 4 5 7 8 9 9 10 12 13 13 13 14 13 13 13 12 12 11 11 11 11 10 10 9 7 6 5 5 5 5 6 6 5 5 5 5 5 6 7 7 7 8 9 10 9 9 9 9 9 10 10 10 10 9 8 9 9 10 10 11 11 11 11 10 10 10 10 11 11 11 10 9 8 8 8 7 8 8 8 8 7 7 7 7 7 6 6 7 7 7 7 8 8 7 7 6 7 8 9 10 10 11 10 10 10 9 9 8 8 7 7 8 8 8 7 5 2 2 3 4 6 7 7 6 6 7 7 7 8 8 8 9 9 9 8 7 6 7 8 10 10 9 nan
nan 10 10 10 10 10 11 10 9 8 6 5 4 4 3 1 -0 -1 -2 -2 -2 -2 -1 -1 -1 -1 2 5 11 18 23 25 23 19 14 12 10 10 10 10 9 7 5 3 3 4 7 9 10 10 9 10 10 9 8 8 8 9 9 10 9 9 8 8 7 7 6 4 3 2 3 3 4 4 4 5 5 6 6 6 6 6 7 7 7 8 9 10 10 9 9 9 9 9 10 10 9 9 8 9 9 10 10 11 11 11 11 11 10 10 10 10 11 11 11 10 9 8 8 7 7 8 8 8 8 8 8 7 7 7 7 8 8 7 7 7 8 8 7 6 6 7 8 9 11 12 12 12 11 10 9 7 7 6 7 8 8 9 8 6 4 3 4 5 6 7 8 8 7 7 7 7 8 8 9 9 9 8 7 7 6 7 8 9 9 8 nan
nan 12 11 10 10 10 10 10 8 7 5 4 3 3 2 1 -1 -2 -3 -2 -1 1 2 3 1 1 5 10 15 20 25 26 24 20 15 12 11 10 10 9 8 7 5 4 3 5 8 10 10 9 7 6 5 4 3 4 5 6 7 7 6 5 3 3 3 3 3 2 1 2 3 3 4 4 4 5 6 7 7 7 7 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 9 9 8 9 9 10 10 11 11 11 11 11 10 10 9 9 10 11 10 10 9 9 8 8 8 8 9 10 9 9 9 8 8 8 9 9 9 9 8 8 8 8 7 6 6 6 7 7 9 11 12 12 12 11 9 8 7 6 7 7 8 9 9 9 7 6 7 7 8 9 10 10 9 8 8 8 9 10 10 10 9 8 7 7 8 8 8 8 8 8 nan
nan 12 11 10 9 9 8 7 6 5 4 3 3 4 3 2 1 -0 -0 1 3 6 8 9 7 8 12 19 24 28 29 28 24 19 15 13 11 11 10 9 8 7 6 5 5 6 9 10 9 8 6 5 4 4 4 5 5 6 5 4 3 2 1 1 2 2 2 3 3 4 4 4 4 5 5 6 7 7 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 10 10 11 11 11 11 11 10 10 10 10 10 10 10 10 9 9 8 9 9 10 10 10 10 9 8 9 9 9 9 10 11 12 12 10 8 7 6 6 6 6 6 7 9 10 11 11 11 11 10 9 8 8 8 9 10 11 11 9 8 8 9 10 11 11 11 10 9 9 9 9 10 10 10 9 7 7 8 9 9 8 8 7 8 nan
nan 12 11 10 9 7 6 5 5 5 4 5 5 5 5 5 5 5 6 7 8 10 11 13 15 19 25 31 36 37 35 30 24 19 15 13 12 11 10 9 8 7 6 6 6 7 9 9 9 7 6 6 7 8 8 7 7 6 4 3 3 2 3 3 3 4 4 4 5 5 5 6 7 7 8 8 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 11 11 11 11 11 10 10 10 10 11 11 10 10 9 9 10 10 10 9 9 9 9 8 8 8 9 12 14 13 11 9 7 7 6 6 6 7 7 8 9 9 10 11 12 11 10 10 10 10 11 12 12 11 9 8 7 8 9 11 12 11 10 10 9 8 8 9 9 8 8 7 8 9 9 9 8 8 8 8 nan
nan 12 11 10 9 8 7 7 8 8 8 7 7 6 6 7 8 10 11 12 12 12 13 14 18 25 31 36 39 40 37 32 25 19 16 14 13 12 11 10 9 8 5 5 6 8 9 9 8 6 6 6 8 9 9 8 6 5 4 3 4 5 5 5 5 5 5 5 6 6 8 9 9 9 9 8 8 8 8 8 7 7 6 5 6 6 8 8 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 11 11 11 11 11 12 12 12 11 11 11 11 12 12 11 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 7 7 7 8 8 8 9 9 11 12 11 11 11 11 12 12 13 12 10 8 7 7 7 8 9 10 10 9 8 7 7 7 7 7 7 6 7 8 10 9 9 8 9 9 9 nan
nan 11 11 10 10 9 9 10 10 10 9 8 7 6 6 7 9 10 11 12 12 13 13 14 17 22 26 30 32 33 32 30 26 22 19 17 16 14 13 11 9 6 4 5 6 8 10 9 7 5 5 6 7 8 8 7 6 5 4 4 5 7 8 8 7 6 6 6 8 10 12 12 11 10 8 8 8 8 9 9 8 8 7 6 5 5 6 8 9 10 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 12 11 11 12 12 11 11 10 9 9 10 10 11 11 11 11 11 11 10 8 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 9 10 10 11 11 12 12 13 13 12 10 9 8 8 8 7 8 8 8 7 6 6 6 7 7 7 6 6 7 9 10 10 9 9 9 10 10 nan
nan 10 10 10 9 9 9 9 9 9 8 7 6 6 6 7 8 9 10 10 11 12 13 14 16 18 20 22 23 24 25 25 25 23 21 19 18 16 15 13 10 6 5 6 7 9 9 9 7 5 5 6 7 8 8 7 6 5 6 6 7 8 10 10 9 8 8 9 11 13 13 11 10 8 8 8 9 9 9 9 10 9 9 7 6 5 5 6 8 9 9 9 9 9 9 9 10 9 9 9 9 10 10 10 10 10 10 9 9 9 10 11 12 12 12 10 10 10 10 11 11 10 10 10 11 11 12 12 13 13 13 11 10 8 7 7 7 8 8 8 8 8 7 7 7 8 8 9 9 8 8 9 9 10 11 12 12 12 12 11 11 11 10 9 8 7 7 7 7 6 6 7 8 8 7 6 6 7 9 10 10 9 9 9 9 9 nan
nan 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 9 9 10 11 12 13 14 15 16 17 17 18 18 19 20 20 20 20 19 18 17 17 15 12 9 8 9 9 10 9 8 6 5 6 6 7 8 8 7 6 7 8 8 8 9 10 10 9 9 10 11 11 10 9 8 7 8 8 9 9 9 10 10 11 11 10 9 7 6 6 6 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 10 10 11 11 10 9 9 9 10 11 11 11 11 11 12 12 13 13 12 11 10 8 8 7 8 9 9 8 8 7 7 7 8 8 8 8 9 9 9 8 8 8 8 9 9 9 10 10 10 11 11 11 9 8 8 8 8 7 7 7 8 9 8 8 8 8 8 9 10 10 9 8 9 9 9 nan
nan 9 9 8 8 8 8 8 8 7 7 7 7 8 8 9 9 9 10 10 11 12 12 13 13 13 14 14 14 15 16 16 16 17 17 18 17 18 17 17 16 14 13 13 12 12 10 7 5 5 6 7 8 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 7 5 5 5 7 8 8 9 9 9 9 9 9 10 11 11 10 9 7 7 7 9 9 10 10 10 9 10 10 10 10 10 9 9 9 8 8 9 9 8 8 8 9 9 9 10 10 9 9 8 9 10 11 12 13 13 12 12 12 12 11 9 9 8 8 8 8 9 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 7 8 8 8 8 8 8 8 8 8 7 8 8 8 8 9 9 9 9 9 9 9 9 8 8 9 9 nan
nan 9 9 8 8 8 8 8 8 7 7 8 8 9 9 9 10 10 10 11 11 12 12 12 12 11 11 11 12 13 13 14 14 14 15 16 17 18 18 18 18 18 18 17 17 14 10 7 6 6 8 9 11 11 11 11 10 9 9 9 9 9 9 9 10 10 9 7 6 5 6 7 7 8 8 8 8 8 8 7 7 8 9 11 11 10 8 7 6 8 9 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 9 9 10 11 12 12 13 13 13 12 11 11 10 9 8 9 9 10 10 10 10 10 9 8 8 8 9 10 10 10 9 9 8 8 8 8 8 8 8 8 7 7 6 7 7 6 7 8 9 9 9 9 9 8 8 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 nan
nan 9 9 8 8 7 7 7 7 8 8 8 8 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 12 13 14 14 15 16 17 18 18 18 21 23 24 21 16 11 8 7 8 10 12 13 13 14 13 11 9 9 10 10 9 9 10 9 9 7 7 6 7 8 8 8 8 8 8 8 7 7 7 7 6 6 7 8 8 7 6 5 6 7 9 9 10 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 11 10 10 10 10 11 11 11 11 11 11 10 10 10 9 9 9 9 10 10 11 11 10 9 8 8 8 9 9 10 10 9 9 9 9 9 9 8 8 8 9 9 9 8 8 8 7 7 7 8 9 9 10 10 10 9 9 8 7 7 8 8 8 8 9 9 9 8 7 7 7 8 nan
nan 9 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 11 11 11 11 11 11 11 10 10 10 11 11 12 13 15 16 16 15 15 15 16 21 27 28 23 16 11 8 8 11 12 13 14 15 16 14 12 11 11 12 12 12 12 11 10 9 8 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 5 4 5 6 6 6 5 4 5 6 8 9 9 9 9 9 9 9 10 10 9 9 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 7 7 8 9 10 10 9 8 8 8 9 9 10 10 10 9 10 10 10 10 10 9 9 8 9 9 9 9 9 9 8 8 8 8 9 9 10 11 11 10 10 9 8 7 7 6 6 7 7 8 8 8 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 11 11 11 10 10 10 10 11 11 12 13 15 16 14 13 12 11 13 18 24 25 21 15 10 8 9 11 13 15 16 17 16 15 14 14 15 15 15 15 14 13 11 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 6 6 6 6 6 7 7 6 6 5 5 6 6 7 8 8 8 8 9 9 9 9 9 8 8 8 8 7 7 7 8 9 9 8 8 8 7 7 7 7 7 7 7 7 7 8 8 8 8 8 8 8 9 10 9 9 8 9 9 10 10 10 10 9 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 6 5 6 7 7 7 8 7 7 7 7 nan
nan 8 8 8 8 8 8 8 8 9 9 10 10 10 10 9 8 8 9 9 10 10 10 10 10 10 10 9 9 9 10 11 11 12 13 13 12 11 10 10 11 13 17 18 16 13 11 10 10 12 14 16 17 17 16 15 16 16 17 17 16 15 13 11 10 9 9 9 9 8 8 8 8 8 8 8 8 8 7 7 7 7 7 7 8 8 8 8 8 8 7 6 6 6 6 6 7 7 8 8 8 8 8 9 8 8 8 8 7 7 8 8 9 8 7 7 7 7 7 7 7 8 8 8 8 9 9 9 9 10 11 11 11 11 11 11 10 10 10 11 11 10 10 9 9 9 10 10 11 11 11 11 11 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 7 7 6 6 6 6 7 7 7 8 7 7 nan
nan 8 8 8 8 8 8 9 9 10 10 10 11 11 10 9 8 8 8 9 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 11 11 10 10 10 11 11 13 13 13 12 12 13 14 14 14 15 16 16 15 15 15 15 16 15 14 12 11 10 9 8 9 11 11 11 11 11 10 10 10 10 11 10 9 8 7 7 7 8 8 9 9 9 9 9 8 8 7 7 6 5 6 7 7 8 8 8 8 9 9 8 8 8 8 9 9 10 10 9 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 8 9 8 8 7 7 7 7 7 7 7 nan
nan 8 8 7 7 7 8 9 9 10 10 10 10 10 10 9 8 8 8 9 10 10 11 11 11 11 10 10 10 9 8 8 8 8 9 9 9 8 8 10 11 12 11 11 11 11 12 13 14 15 16 15 15 14 14 14 14 13 13 12 12 11 11 11 11 11 12 13 13 14 14 13 12 11 10 10 11 11 10 9 8 7 7 8 8 9 9 9 9 9 9 9 8 8 6 6 5 6 7 7 8 8 9 9 8 8 8 9 9 9 10 11 10 10 10 10 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 10 9 10 11 11 11 11 11 11 10 9 9 9 9 9 9 8 8 9 9 10 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 11 10 9 9 8 7 7 7 7 7 nan
nan 9 8 7 7 7 7 8 9 9 9 9 9 9 9 9 8 8 8 9 10 10 11 11 11 11 11 11 11 10 9 8 8 8 8 8 7 7 7 9 10 11 11 11 11 11 12 12 13 14 15 15 13 12 12 12 13 12 12 11 11 11 11 12 13 14 15 14 13 12 12 11 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 8 8 7 6 5 4 5 6 7 8 8 8 7 7 8 8 8 9 9 10 11 11 11 11 11 10 9 9 9 9 9 8 8 8 8 8 9 9 9 8 7 6 7 8 8 9 9 9 9 9 9 9 9 9 9 8 8 8 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 9 9 10 10 10 10 10 10 9 8 9 10 11 11 10 10 9 9 9 8 7 7 nan
nan 10 9 8 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 10 10 11 11 11 12 12 11 10 9 9 8 8 8 8 7 7 7 8 9 9 9 10 10 11 12 12 12 13 12 12 10 10 10 11 12 12 12 11 11 10 9 9 11 13 15 14 11 10 8 7 7 7 7 6 5 5 5 6 8 8 8 8 8 9 9 9 9 9 8 8 7 6 5 4 3 3 4 6 7 7 7 6 7 7 8 9 9 9 9 9 10 10 11 10 9 8 8 9 9 9 9 9 9 9 9 9 10 10 9 7 6 6 7 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 10 9 9 9 10 11 11 10 10 9 9 9 9 9 8 7 nan
nan 10 10 9 9 8 8 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 11 12 12 12 11 10 9 9 9 9 8 8 7 7 7 8 8 8 9 9 10 11 11 12 11 10 9 8 8 9 10 10 10 11 11 10 10 8 7 8 9 11 11 10 7 5 4 4 6 6 5 5 4 5 6 7 8 8 9 9 9 8 8 8 8 7 7 6 5 4 4 3 4 6 8 9 9 9 8 8 9 10 11 11 10 9 8 8 8 9 9 9 8 8 8 9 9 9 9 9 9 9 9 10 11 10 8 8 8 8 9 9 9 10 10 10 9 8 9 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 11 11 11 11 11 11 11 11 10 10 10 9 9 8 9 10 11 11 10 9 8 8 8 8 8 8 8 nan
nan 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 9 8 9 9 9 9 9 10 11 11 12 12 11 10 10 9 9 9 9 9 8 8 8 8 8 9 9 10 11 11 11 11 10 9 8 7 7 8 9 9 10 10 10 10 10 9 8 7 7 8 9 8 7 4 3 4 6 6 6 6 6 7 8 8 8 8 8 9 8 8 8 7 7 6 5 4 4 4 4 5 6 9 11 12 12 12 11 11 11 12 12 12 11 10 8 7 7 8 9 9 9 9 9 9 10 10 9 9 8 8 9 9 10 10 9 9 9 9 9 9 9 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 9 9 10 11 11 11 11 11 11 11 10 10 9 8 8 8 10 11 11 10 9 8 7 7 7 8 8 7 nan
nan 9 9 9 9 9 9 9 8 8 8 9 9 10 10 10 9 9 8 8 8 8 8 9 9 10 11 11 12 12 11 10 10 9 9 9 9 9 8 8 8 9 9 10 11 12 12 12 12 11 9 8 7 8 8 9 9 10 10 10 10 10 10 9 7 6 5 6 8 8 6 5 6 7 8 8 8 8 9 8 8 8 8 8 8 7 7 6 6 6 6 5 4 5 6 6 7 8 10 13 14 14 13 12 11 11 11 12 12 11 10 8 8 8 9 10 10 10 9 9 9 9 9 9 9 9 8 8 7 7 7 8 9 9 9 8 8 9 10 10 9 9 9 9 10 10 9 9 8 8 8 8 8 9 8 8 8 8 8 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 11 11 10 9 8 7 7 7 7 7 nan
nan 9 9 9 8 8 8 8 8 9 9 9 9 10 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 11 12 11 10 10 9 9 9 9 8 8 9 9 9 10 11 12 12 13 13 12 10 9 8 9 9 10 10 10 10 9 9 9 8 7 5 4 3 4 7 9 8 8 8 9 9 9 10 10 9 9 8 8 8 8 7 6 6 5 6 6 7 8 8 8 8 8 9 9 11 12 13 13 12 12 11 10 10 10 10 10 9 8 9 10 11 11 12 11 10 8 8 8 8 9 9 9 9 8 7 6 6 7 8 9 8 7 7 8 8 9 8 8 8 9 10 10 10 9 9 8 8 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 10 10 10 10 9 8 7 7 7 nan
nan 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 10 10 11 11 10 10 9 9 9 9 8 8 9 9 9 10 10 11 11 12 13 12 11 10 9 9 9 10 10 9 9 8 7 7 7 5 4 3 3 5 7 9 8 7 7 7 8 9 10 11 11 10 9 8 8 8 7 7 6 7 7 8 9 10 11 10 10 9 9 10 10 11 11 11 11 11 10 9 9 8 9 9 10 10 10 11 11 11 11 11 10 9 9 9 9 10 10 9 9 8 8 7 7 8 9 9 9 8 8 8 8 8 8 7 8 8 9 9 10 10 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 11 10 10 9 9 9 10 11 11 11 10 9 9 8 nan
nan 10 9 9 9 9 8 8 8 8 9 9 9 9 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 9 10 10 11 12 11 10 10 10 9 9 10 9 9 8 8 8 8 7 7 6 6 6 7 8 8 7 6 5 6 7 8 10 11 12 12 10 9 9 8 8 8 9 9 10 10 10 11 11 11 10 10 10 10 10 9 9 10 10 10 9 9 9 9 9 9 10 10 11 10 10 10 10 10 11 10 10 10 10 10 10 10 9 9 8 8 9 9 9 10 10 9 9 9 9 8 8 7 7 8 8 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 11 11 11 9 8 7 7 9 11 11 12 11 11 10 10 nan
nan 10 10 9 9 9 9 9 9 9 9 9 10 9 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 8 8 8 9 9 9 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 8 8 7 7 7 7 7 8 9 9 10 10 9 9 9 9 9 9 10 11 11 11 11 10 10 10 10 10 11 11 11 10 9 9 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 9 10 10 10 10 10 10 11 10 10 9 8 8 9 9 9 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 9 7 5 6 9 10 11 12 12 11 11 10 nan
nan 10 9 9 8 8 8 8 9 9 9 10 10 9 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 12 10 8 8 8 9 9 9 9 9 8 7 7 7 7 8 8 8 8 9 10 10 10 10 10 10 10 9 9 9 11 12 13 13 12 11 9 9 9 10 11 10 10 10 11 11 10 9 8 9 9 9 9 9 9 9 9 10 11 11 11 10 9 8 8 8 9 9 8 8 9 9 9 9 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 8 9 8 8 8 9 9 9 9 10 10 11 11 10 9 7 6 7 9 10 11 11 12 11 10 10 nan
nan 9 8 8 8 8 8 8 8 9 9 10 10 9 9 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 9 9 9 9 9 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 11 12 13 13 12 11 10 10 10 10 10 10 9 8 7 7 7 7 7 7 8 8 9 10 10 10 10 10 10 9 9 9 10 11 12 13 13 12 11 9 8 8 9 9 9 9 9 10 11 11 10 9 9 9 9 9 9 9 9 9 9 10 11 11 10 9 8 8 8 8 8 7 6 7 8 8 9 9 9 9 8 8 7 7 7 8 8 9 9 9 10 9 9 9 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 10 10 9 8 7 8 9 10 10 10 10 10 9 9 nan
nan 8 8 8 7 7 7 7 7 8 9 9 9 9 9 9 8 8 8 8 8 8 8 8 8 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 10 10 10 10 10 9 9 9 9 9 9 9 10 10 10 11 11 12 13 13 13 12 12 11 10 10 9 9 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 10 11 12 12 12 12 11 10 9 8 8 8 7 7 8 8 9 10 10 10 9 9 8 9 9 9 9 8 8 8 9 10 10 10 9 8 8 8 9 9 8 7 7 8 8 8 9 9 9 8 8 8 7 7 8 8 8 9 9 10 9 9 9 9 8 8 9 9 9 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 10 10 9 9 8 nan
nan 8 7 7 7 7 7 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 8 8 9 10 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 9 9 9 10 10 10 10 10 9 9 8 8 8 9 9 9 10 10 10 10 11 11 12 12 11 11 10 9 8 7 8 9 9 10 10 10 10 10 9 9 9 9 10 10 11 11 11 10 10 11 11 11 11 11 10 10 10 9 9 8 8 8 8 8 8 8 9 9 9 9 8 8 8 9 9 9 8 8 8 8 8 9 8 8 7 8 8 9 9 9 9 9 8 8 8 8 8 9 9 8 8 8 8 8 8 8 9 9 10 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 10 10 10 9 9 9 9 10 10 9 8 8 8 9 10 9 9 8 nan
nan 8 7 7 7 7 7 7 8 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 8 8 9 10 10 11 11 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 8 8 8 8 9 9 10 10 10 10 9 9 9 8 8 8 7 7 7 8 9 10 11 11 11 10 10 10 10 10 11 12 12 12 12 11 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 9 8 9 8 8 8 7 7 7 8 8 8 9 9 9 9 9 8 8 8 8 8 9 9 9 9 9 8 8 8 9 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 8 8 9 9 9 9 8 nan
nan 7 7 7 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 9 8 8 8 7 7 8 8 9 10 11 11 11 11 11 11 11 10 10 9 9 9 9 9 9 9 9 10 10 10 10 10 9 8 8 7 7 8 8 9 9 10 10 10 9 8 8 7 7 7 7 7 7 8 9 10 11 12 12 12 11 11 10 10 11 12 12 13 13 12 12 11 10 9 9 9 8 9 9 9 9 10 10 10 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 9 9 8 7 7 7 7 7 8 8 9 10 10 10 9 9 8 8 8 8 9 9 9 9 9 8 8 8 9 9 10 10 9 9 8 8 8 8 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 11 11 10 8 8 8 9 9 9 9 nan
nan 7 7 7 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 10 10 10 9 9 8 8 8 9 9 10 10 11 11 11 12 12 11 11 10 10 9 9 9 10 10 10 10 10 10 10 10 10 10 9 8 8 7 8 9 10 10 11 11 10 9 8 8 8 8 8 8 8 9 9 10 11 12 12 13 13 13 12 11 11 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 8 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 10 10 10 9 8 8 8 7 7 7 8 9 10 10 10 9 9 9 9 9 9 9 9 10 10 9 8 8 8 9 10 10 11 10 9 9 9 9 9 9 9 9 9 9 10 10 9 9 9 10 10 10 10 10 10 11 10 9 9 9 10 11 10 8 nan
nan 8 8 8 8 8 8 8 8 8 8 8 9 9 9 10 10 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 11 11 11 11 11 11 10 10 10 10 10 10 11 11 11 11 11 10 10 10 10 10 9 9 8 8 9 10 11 11 11 9 8 8 8 8 8 8 8 9 10 11 11 11 11 11 12 12 13 12 12 11 11 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 9 9 10 10 11 10 9 8 8 8 8 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 10 10 10 9 8 8 9 9 10 11 11 11 10 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 9 10 10 10 10 10 10 10 11 11 9 6 nan
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nan 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 7 7 6 6 7 8 10 12 12 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 8 8 7 8 8 9 10 11 11 12 12 13 14 15 16 17 18 18 17 16 15 14 12 11 11 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 11 11 11 11 11 11 10 10 10 10 11 11 11 11 11 11 12 12 12 12 12 11 11 10 9 9 8 8 8 8 8 7 7 8 8 7 6 6 5 5 6 7 9 11 12 12 12 10 9 9 9 9 9 9 9 10 11 12 12 12 12 11 11 11 12 11 10 9 9 10 10 10 9 8 7 6 5 5 6 7 8 9 9 9 7 3 3 3 5 6 7 8 9 9 9 9 10 11 12 12 12 12 nan
nan 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 8 7 7 6 6 7 9 10 12 12 12 11 11 10 9 9 9 10 10 10 10 10 9 9 8 8 7 7 7 7 8 8 9 9 10 10 11 12 14 15 17 17 18 17 17 16 15 13 12 11 10 10 10 10 9 9 9 9 9 8 8 8 9 9 10 10 11 11 11 10 10 11 10 9 9 10 10 11 11 11 10 11 11 11 11 11 12 12 12 11 10 10 9 9 9 9 8 8 7 8 8 8 7 6 5 5 5 7 9 11 13 14 12 10 9 9 9 10 10 10 10 10 10 11 11 12 12 12 12 12 12 12 12 13 13 12 11 9 7 6 5 5 4 4 5 6 7 7 8 9 8 5 5 5 6 8 9 10 10 9 9 9 10 11 12 12 11 11 nan
nan 11 11 11 11 10 10 9 9 9 9 9 10 10 11 11 11 10 8 7 6 6 7 8 10 12 13 13 12 11 10 9 9 9 9 10 10 10 10 9 9 8 7 6 6 6 7 7 8 9 9 9 9 10 11 13 15 16 16 16 16 15 15 14 13 12 11 11 10 10 10 9 9 9 9 9 9 8 8 8 9 9 10 10 11 10 10 10 10 10 10 9 9 10 10 11 11 10 10 10 10 11 10 10 11 11 12 12 12 11 10 10 10 9 9 8 8 8 9 8 8 6 5 4 5 6 7 10 13 15 14 11 9 9 9 10 10 11 10 10 10 10 10 11 11 12 11 11 11 12 13 14 14 13 11 9 7 6 5 6 7 7 7 7 7 7 7 8 8 7 6 7 8 10 11 11 11 10 9 9 9 10 11 11 10 10 nan
nan 11 11 11 11 10 10 9 9 9 9 10 11 11 11 11 11 9 8 7 6 6 8 9 11 12 12 12 12 11 10 9 9 9 9 10 10 10 9 9 8 7 6 6 6 7 7 8 9 10 10 10 11 12 13 14 15 15 15 14 14 13 12 12 11 11 11 10 10 10 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 9 10 11 11 10 10 9 10 10 11 10 9 9 10 10 10 10 10 11 12 12 12 12 11 11 10 10 9 9 8 9 9 9 8 7 5 5 4 5 6 9 13 15 15 12 10 9 9 9 10 11 11 11 11 10 10 10 10 11 11 11 11 12 12 13 14 14 12 10 8 7 7 9 9 8 8 7 6 6 6 8 8 9 8 8 9 11 11 12 11 10 9 9 9 10 10 10 9 9 nan
nan 9 10 10 10 9 9 9 9 9 11 12 12 11 11 10 9 8 7 7 7 8 9 10 11 12 12 12 11 11 10 9 8 8 9 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 11 12 12 13 14 15 15 15 14 13 12 12 11 10 10 10 10 10 10 9 9 9 9 9 8 8 8 9 9 9 9 10 10 10 11 11 11 11 12 12 12 12 10 10 10 12 12 11 10 9 9 9 10 10 10 11 11 12 12 12 12 11 11 10 10 9 9 9 9 9 9 7 6 5 5 5 6 8 12 15 15 13 11 9 8 9 10 11 12 12 12 11 10 10 9 10 10 11 11 12 12 12 12 12 12 10 9 7 8 8 7 6 6 5 5 5 5 7 10 12 12 11 10 11 11 11 11 10 10 10 9 8 8 7 6 6 nan
nan 8 8 8 8 8 9 9 11 12 12 12 11 10 9 8 8 7 7 7 8 9 10 11 12 12 12 12 11 10 9 8 8 8 8 9 9 9 8 8 8 8 8 8 9 9 9 10 10 11 12 13 14 15 15 15 14 13 13 12 12 11 10 10 10 10 10 10 10 9 9 8 8 8 8 8 8 8 9 9 10 10 10 11 11 11 11 12 13 13 13 12 11 11 12 13 13 13 11 10 9 9 10 10 11 11 12 12 13 13 13 12 11 11 10 9 9 9 9 9 9 8 7 5 5 6 7 9 11 13 14 12 10 8 8 9 9 10 11 12 12 11 11 10 9 9 10 10 10 11 11 11 10 10 10 9 7 6 6 5 5 4 4 4 5 5 5 8 12 14 15 14 12 11 11 11 12 11 11 10 9 7 5 4 3 4 nan
nan 8 8 8 8 8 9 11 12 12 12 11 9 8 8 8 8 7 7 8 9 10 11 11 12 12 12 11 10 9 8 8 8 8 8 9 9 8 8 8 8 8 9 10 10 10 10 11 12 12 13 14 15 15 14 13 13 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 11 11 11 11 11 11 11 11 12 12 13 13 14 14 14 13 12 11 10 10 11 11 11 12 13 13 13 13 13 13 12 12 11 10 10 9 9 9 9 8 7 6 6 7 8 10 12 13 11 9 8 8 9 10 10 10 11 11 11 11 10 10 9 9 9 9 9 9 9 9 9 9 9 7 5 4 3 3 3 3 4 4 5 6 8 10 13 15 17 16 14 12 12 12 13 12 11 9 8 6 4 2 3 6 nan
nan 8 8 8 8 9 10 11 11 11 10 9 9 9 8 8 8 9 9 9 10 10 11 11 12 12 11 11 10 9 8 7 8 8 8 8 8 7 7 7 8 8 10 11 12 12 13 13 14 14 15 15 15 14 13 12 11 11 11 11 11 11 11 10 10 9 8 9 9 9 9 9 9 8 8 8 9 9 9 10 10 10 10 10 10 10 10 9 9 9 10 11 13 14 15 16 15 15 13 12 11 11 12 12 13 13 13 13 13 13 13 13 13 12 12 12 12 11 10 9 9 9 8 7 7 8 9 11 13 12 9 7 7 8 10 11 11 11 11 11 10 10 10 10 9 9 8 8 8 8 9 9 9 9 8 6 4 3 2 2 3 4 4 5 7 9 11 12 13 15 17 18 17 15 14 15 15 13 10 7 6 5 4 5 7 10 nan
nan 8 8 9 10 11 11 11 10 10 10 9 9 9 9 9 9 10 10 10 10 10 11 11 11 11 11 10 9 8 7 7 7 8 8 8 7 7 7 7 7 9 10 12 14 15 16 16 17 17 16 15 14 13 12 11 11 11 11 11 11 11 11 11 10 9 9 9 9 9 9 9 9 10 10 10 9 9 10 10 10 10 9 9 10 10 10 9 9 9 9 10 12 13 15 16 17 16 15 14 13 12 12 12 13 13 13 13 13 13 13 12 12 13 13 14 14 13 11 10 10 9 9 8 8 9 10 11 13 12 10 8 8 9 10 11 11 11 11 10 9 9 9 9 9 8 8 8 9 9 9 9 9 8 7 5 4 2 2 3 4 4 5 7 9 11 12 13 13 14 18 20 20 19 17 17 16 14 11 7 6 6 7 9 11 13 nan
nan 7 8 9 10 11 11 11 10 10 10 9 9 8 8 9 10 10 10 10 10 10 10 10 10 11 10 9 8 7 7 7 7 7 7 7 7 7 7 8 9 10 12 14 16 17 18 19 19 18 16 15 14 13 12 12 12 11 11 11 11 11 11 11 11 10 10 9 9 8 9 9 10 10 10 10 10 10 10 10 10 9 9 8 9 9 9 9 9 9 9 10 11 13 14 16 17 16 15 14 13 11 11 12 12 13 12 12 12 12 12 12 12 12 13 14 14 14 13 12 11 10 10 9 9 9 10 10 11 11 11 11 11 11 11 11 11 11 11 10 8 8 8 9 9 9 8 9 9 9 9 9 9 8 7 5 4 2 2 3 4 5 7 9 11 12 13 13 13 16 19 22 23 22 18 15 14 12 10 9 9 9 10 12 13 14 nan
nan 7 8 9 10 11 11 11 11 10 10 9 8 8 8 9 10 10 10 10 9 9 9 9 9 9 9 8 8 7 7 7 7 7 8 8 8 9 9 11 12 13 15 15 16 16 16 17 18 17 16 15 14 14 14 14 14 13 12 11 11 11 11 12 11 11 10 10 9 9 9 9 9 10 10 9 9 9 10 9 9 9 8 8 8 8 8 8 9 9 10 10 11 12 13 14 14 14 13 12 11 11 11 12 12 12 12 12 12 12 12 11 11 11 12 12 13 14 14 13 12 11 10 10 10 9 9 9 9 9 10 11 12 12 11 10 10 12 11 9 8 7 7 8 9 9 8 9 9 9 9 9 9 8 7 6 3 2 2 3 5 7 10 11 12 12 13 13 14 17 21 24 25 23 17 12 10 9 10 11 12 14 15 15 15 15 nan
nan 7 8 8 10 11 11 11 11 10 10 10 9 9 9 9 9 10 10 9 8 8 8 8 8 8 8 7 7 7 7 7 7 8 9 10 11 11 12 13 14 15 15 15 15 14 13 13 13 14 14 14 14 14 14 14 14 13 13 12 12 12 12 12 12 11 11 10 9 9 9 9 9 9 9 8 9 9 9 9 9 8 7 7 7 7 7 7 8 9 10 10 10 10 11 12 12 11 11 10 9 10 11 12 13 13 13 13 13 12 11 11 10 10 10 11 12 13 13 13 12 11 10 9 9 9 8 8 7 7 7 9 10 11 10 10 11 13 11 9 7 6 7 7 8 8 8 9 9 9 9 8 7 6 5 3 1 0 1 4 8 10 12 12 12 13 13 14 16 19 21 22 21 17 13 9 8 9 11 13 14 15 17 17 17 16 nan
nan 7 7 8 9 9 9 10 10 10 10 10 10 10 9 9 9 9 9 8 7 7 7 7 7 7 7 6 6 6 6 6 7 8 10 11 13 13 14 14 14 14 14 13 12 11 11 11 11 11 12 11 11 11 11 11 10 10 11 12 12 12 12 12 11 11 11 11 10 10 10 10 10 9 9 9 9 9 9 9 9 9 8 7 7 7 7 8 9 10 11 10 9 9 10 10 10 10 10 9 8 9 11 12 13 14 14 14 13 12 11 10 9 9 9 9 10 11 11 11 10 10 9 8 8 7 7 7 6 6 6 7 8 9 10 11 13 13 11 9 8 7 6 6 7 8 9 9 9 8 8 6 4 2 0 -1 -2 -1 3 8 11 12 12 12 13 13 14 15 18 19 19 16 12 8 6 6 7 10 12 13 14 15 16 16 16 14 nan
nan 7 7 8 8 8 8 8 8 9 9 9 9 9 9 9 9 8 8 7 6 6 6 5 6 6 5 5 5 5 6 7 8 8 10 11 13 14 15 14 13 12 11 10 9 9 11 11 11 10 10 9 8 8 7 7 7 8 9 10 11 11 11 11 11 11 11 11 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 8 8 8 9 10 11 11 11 9 9 9 9 8 7 7 8 8 9 10 12 13 13 13 12 11 10 9 9 9 9 9 9 9 9 9 9 9 8 8 7 6 6 6 6 6 6 6 6 7 8 9 10 11 11 10 10 9 7 6 6 7 8 8 8 8 7 5 2 -0 -2 -2 -2 -0 3 8 11 12 12 12 13 14 16 18 19 20 19 17 12 8 5 5 6 9 12 14 14 15 16 17 16 15 12 nan
nan 7 7 7 7 8 8 7 8 8 8 8 8 8 8 8 8 7 7 6 6 6 6 6 6 5 5 5 5 6 7 8 8 9 10 11 14 15 15 14 12 11 9 8 7 9 10 10 9 9 8 8 8 7 7 6 7 7 9 10 10 10 10 10 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 9 10 11 10 9 8 7 7 6 5 5 6 8 9 10 11 11 11 10 9 9 8 9 10 10 10 10 10 9 9 8 7 6 6 5 5 5 6 7 7 6 6 6 7 8 8 8 7 7 7 9 10 9 7 7 7 7 7 6 4 3 0 -2 -2 -1 1 4 8 11 13 13 13 14 15 17 19 21 22 23 22 21 18 14 11 10 10 12 14 16 17 19 20 20 19 17 13 10 nan
nan 6 6 6 7 8 8 8 8 8 8 7 7 7 7 7 7 6 6 6 6 6 6 6 6 6 6 6 6 7 7 8 8 9 11 13 15 16 15 14 12 10 8 8 8 9 10 10 9 8 7 7 8 7 7 6 6 7 7 8 8 8 8 8 8 9 10 11 11 11 11 10 10 10 10 10 10 10 10 10 10 10 9 9 9 9 8 7 7 8 9 9 9 8 7 7 7 7 7 7 7 8 9 10 10 10 9 9 9 9 9 9 10 10 10 10 10 9 8 7 6 5 5 5 5 6 7 8 8 7 6 6 7 8 9 8 6 5 5 7 10 10 10 9 8 5 2 0 -1 -1 -2 -1 1 5 10 13 15 16 16 16 17 18 20 22 23 23 23 22 21 19 17 15 13 12 12 14 17 19 21 24 25 23 19 15 11 9 nan
nan 7 7 7 8 9 10 10 9 9 8 8 7 7 6 6 6 6 6 6 7 7 7 8 8 8 8 8 8 7 7 7 8 10 11 14 16 16 15 14 12 11 9 9 9 9 10 10 9 8 7 7 6 6 6 6 6 5 5 5 5 5 5 5 7 9 10 11 11 11 11 10 10 10 10 9 9 9 9 10 10 9 9 9 10 10 9 9 8 8 8 8 8 8 8 9 9 9 10 11 11 11 11 10 10 9 9 9 10 10 10 9 9 10 10 9 9 8 8 8 7 6 7 7 8 8 10 10 9 8 7 7 8 9 10 8 7 6 6 7 10 11 11 9 5 1 -1 -2 -0 2 4 7 11 15 19 20 20 20 20 21 22 23 23 23 23 22 20 17 15 13 11 10 10 10 12 14 16 19 23 25 24 20 15 11 9 9 nan
nan 8 8 9 10 11 12 11 11 10 9 8 7 7 6 6 6 6 6 7 8 8 9 9 9 9 10 9 8 7 7 7 8 9 12 14 16 15 14 13 12 11 9 9 9 9 10 10 9 9 8 7 7 6 6 6 6 5 5 4 4 4 4 5 7 9 10 11 12 12 11 11 11 10 9 9 8 8 8 9 9 9 9 9 10 11 11 11 11 10 9 9 9 11 12 12 12 13 13 13 13 12 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 8 8 8 9 9 9 9 10 11 11 10 9 8 9 11 12 11 10 9 8 9 10 12 13 13 10 6 4 4 6 9 12 14 17 21 23 24 23 21 21 22 22 22 21 20 19 18 16 14 12 11 9 7 7 8 11 13 15 16 18 20 20 17 14 11 10 11 11 nan
nan 9 10 11 12 13 13 12 11 10 8 7 7 7 7 7 7 7 7 7 9 10 10 10 10 10 11 11 10 9 8 8 8 10 12 15 15 15 14 13 12 10 9 8 8 8 9 9 9 9 9 9 9 8 8 8 7 7 6 5 5 6 6 7 9 10 11 12 12 12 12 12 12 10 9 9 9 9 8 8 8 8 9 9 10 11 11 12 12 11 10 10 11 12 13 14 14 13 13 12 12 11 11 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 10 10 10 9 10 10 10 10 9 10 12 13 14 13 12 11 11 13 15 17 19 18 15 12 12 13 16 18 20 22 23 24 23 21 18 16 16 16 16 15 14 13 12 12 11 11 12 12 11 11 12 13 15 16 16 16 16 15 14 12 11 10 12 13 13 nan
nan 10 11 12 13 13 13 11 10 9 8 7 7 7 7 7 7 8 8 8 9 10 10 11 10 10 11 11 11 10 10 9 9 11 13 15 15 14 14 13 12 11 9 8 7 7 8 8 9 9 9 9 9 9 9 8 8 8 8 7 7 7 7 8 9 10 11 12 12 12 13 13 13 11 10 10 10 10 10 9 9 9 9 10 10 10 11 12 12 11 11 10 11 11 12 12 12 11 11 11 11 10 10 10 10 10 10 10 10 10 10 9 9 9 8 8 8 8 8 9 9 9 9 9 9 9 9 9 9 10 11 12 13 13 13 12 13 14 16 18 19 20 19 17 16 16 17 18 19 20 21 20 18 15 12 10 10 11 12 12 10 10 10 10 10 11 13 14 15 15 15 16 16 16 15 14 14 13 12 11 10 10 11 13 14 15 nan
nan 11 12 13 13 13 12 11 9 8 8 8 8 8 8 8 8 8 8 8 8 9 10 10 10 10 11 11 12 12 12 12 12 13 14 14 14 14 13 13 13 12 10 9 8 7 7 7 7 7 8 8 9 9 8 8 8 9 9 9 9 8 8 8 8 9 10 11 11 12 12 13 13 12 11 11 11 11 11 11 10 10 10 10 9 9 10 10 10 9 9 9 9 10 10 10 10 10 10 10 10 9 9 9 9 9 10 10 10 10 10 10 9 9 9 9 8 9 9 9 9 9 9 9 9 9 9 9 9 10 11 11 12 12 11 11 13 14 15 16 16 15 14 14 14 14 14 15 15 16 15 13 12 11 11 12 12 13 14 14 13 13 13 13 13 13 14 15 15 15 15 14 13 13 12 12 12 12 11 11 11 11 12 13 15 16 nan
nan 11 13 13 13 12 11 10 9 8 8 9 9 9 9 9 8 8 8 8 9 9 10 11 11 11 11 12 13 14 15 15 15 15 14 14 13 13 13 13 14 13 12 11 10 9 8 7 7 6 7 8 8 8 8 8 8 9 9 10 9 9 8 8 7 8 8 9 10 11 11 11 11 12 12 11 11 11 11 11 11 11 10 10 9 9 9 8 8 8 7 7 8 8 9 9 9 9 9 8 8 8 8 8 8 9 9 10 10 10 10 10 10 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 11 11 12 12 12 11 11 11 10 11 12 12 13 12 11 13 14 16 18 17 17 16 16 15 15 14 14 14 13 13 13 13 13 12 12 11 11 11 11 11 11 11 11 11 12 13 14 16 17 nan
nan 12 13 13 12 11 10 10 9 9 10 10 10 10 10 10 10 10 9 9 10 10 11 11 12 12 13 13 15 15 16 16 16 15 14 13 12 12 13 13 13 13 12 12 12 11 10 9 9 8 8 8 8 8 8 8 9 9 9 9 9 9 8 7 6 6 7 8 10 10 11 11 11 11 11 11 11 11 11 11 11 11 11 10 9 9 9 9 8 7 7 7 7 7 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 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 9 9 10 10 10 10 10 10 10 9 9 10 11 13 13 13 13 15 16 16 16 15 14 14 14 13 12 12 11 11 11 11 12 12 12 12 11 11 11 10 10 10 11 11 12 12 13 13 15 16 18 nan
nan 12 13 12 11 11 10 10 10 10 10 10 10 10 11 11 11 11 11 11 12 12 12 13 13 13 14 15 16 16 16 15 15 14 13 12 11 11 11 12 12 12 11 11 12 12 12 12 12 11 11 10 10 10 9 9 9 9 9 9 9 8 7 7 6 6 7 8 9 11 11 11 11 11 11 10 10 10 11 11 11 11 10 10 10 10 10 9 8 7 6 6 7 7 7 7 8 8 8 8 8 8 8 8 8 8 8 9 9 9 9 9 9 9 10 10 10 10 10 9 9 8 8 8 8 7 6 5 5 6 7 8 9 9 8 8 9 10 11 11 10 9 7 7 8 10 12 13 14 14 14 13 12 12 12 11 11 11 11 11 10 10 10 10 10 10 10 11 11 11 12 12 12 11 11 10 10 11 12 12 12 13 14 15 16 17 nan
nan 12 12 12 11 11 10 10 10 10 9 9 10 11 11 11 11 12 12 13 13 14 14 14 14 15 15 15 15 14 14 13 13 13 12 11 10 10 10 10 11 11 11 11 11 12 13 13 14 13 13 12 12 11 11 10 10 9 9 9 9 9 9 8 8 8 8 9 10 11 11 11 11 11 11 10 10 10 11 11 12 11 11 11 11 11 11 10 8 7 7 7 7 7 7 7 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 10 10 10 10 9 7 6 6 7 7 6 3 0 -0 1 3 4 5 6 5 5 6 8 9 9 8 5 3 5 8 12 14 15 15 14 12 11 9 9 9 9 10 10 10 10 10 9 9 9 9 10 10 10 10 10 11 12 12 12 11 11 11 11 12 12 12 13 14 15 16 16 nan
nan 12 12 12 11 11 11 10 10 10 10 10 10 11 12 12 13 13 13 14 14 14 15 15 15 15 15 14 13 13 12 12 12 12 11 10 10 9 9 10 10 11 11 11 12 12 12 13 13 13 13 13 13 12 12 11 11 10 9 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 13 14 14 13 11 10 9 9 9 9 9 8 8 8 9 10 10 10 10 11 11 11 11 10 10 10 10 10 10 10 9 9 9 9 9 8 8 6 5 5 6 7 8 7 5 2 0 -0 0 1 0 0 0 2 3 5 6 6 4 1 2 6 11 15 16 14 12 11 10 9 8 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 9 10 11 12 12 12 11 11 11 11 12 13 13 14 15 15 15 nan
nan 12 12 12 11 11 11 10 10 10 11 11 12 13 14 14 14 15 15 15 15 15 15 15 15 14 14 14 13 12 11 11 11 11 11 10 9 9 9 9 10 11 11 11 11 11 11 11 12 13 13 13 13 12 12 11 11 10 9 9 9 9 10 9 9 9 9 9 9 8 8 8 9 9 8 7 7 8 9 9 10 13 15 17 18 16 13 12 12 11 11 11 11 11 11 11 12 12 12 12 12 12 11 11 11 11 11 10 10 11 11 10 9 8 7 6 5 4 3 3 4 5 6 8 9 9 9 8 7 5 4 2 -0 -1 -0 2 4 5 5 4 2 3 7 13 19 19 16 12 10 9 8 8 8 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 11 11 11 11 11 12 13 13 14 15 14 14 nan
nan 12 12 12 11 11 11 11 11 12 12 12 13 14 15 16 16 16 16 15 15 15 15 14 14 13 13 13 13 12 11 11 11 11 11 10 10 9 9 9 9 10 10 10 10 9 9 11 12 12 12 12 12 11 11 11 11 11 10 10 9 9 9 9 8 7 7 7 7 7 7 8 10 9 8 7 6 6 7 7 8 10 12 15 17 17 16 15 15 14 14 13 13 13 13 14 14 15 15 15 14 12 10 9 10 10 10 10 10 11 11 10 8 6 3 2 1 1 1 2 4 6 7 8 8 9 9 10 11 10 8 6 5 5 6 7 9 9 9 8 8 12 17 21 23 20 15 12 9 8 8 8 9 9 10 10 10 9 10 10 10 10 10 10 10 9 10 10 10 9 9 9 10 10 11 11 12 12 12 12 13 13 14 14 14 14 nan
nan 12 12 12 12 12 13 13 14 14 14 14 14 14 15 16 16 16 15 15 15 15 14 13 12 12 12 13 13 12 12 12 11 11 11 11 10 10 9 9 9 10 10 9 9 9 9 10 11 12 12 12 11 11 11 11 11 12 11 11 11 10 10 9 8 7 7 7 6 6 7 9 11 10 9 8 6 5 6 6 6 7 7 9 11 13 14 16 17 16 15 14 13 13 13 13 14 14 14 14 13 10 9 9 9 9 8 7 8 10 11 10 9 6 4 3 3 3 4 5 6 7 7 7 7 8 9 10 10 11 10 10 9 10 11 12 14 14 15 15 17 20 22 23 21 17 13 10 9 8 9 9 9 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 10 9 9 9 10 11 11 12 12 12 12 12 13 14 14 14 13 nan
nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan nan
CAPE
722 625 587 593 602 597 607 577 504 418 330 254 194 145 104 71 46 27 7 2 0 0 0 0 1 4 14 49 170 430 889 1498 2053 2404 2599 2784 3006 3222 3356 3377 3361 3331 3315 3313 3313 3307 3294 3275 3243 3211 3170 3157 3143 3088 2999 2914 2877 2862 2846 2829 2801 2732 2590 2375 1907 1324 799 420 190 68 25 10 5 3 1 1 2 6 8 10 18 37 67 103 145 189 215 223 212 191 171 150 106 69 54 105 165 193 198 225 290 253 246 221 189 193 217 219 149 104 69 36 16 15 22 14 8 5 3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 1 1 1 1 0 1 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
644 595 572 580 582 553 499 421 328 236 160 105 67 40 24 15 10 6 1 0 0 0 0 0 0 0 1 7 33 140 487 1105 1796 2302 2578 2769 2972 3185 3337 3376 3363 3345 3343 3353 3366 3368 3353 3323 3281 3247 3184 3147 3115 3051 2963 2894 2865 2848 2810 2766 2709 2596 2383 2051 1547 1011 559 248 76 15 5 1 0 0 0 0 1 1 0 0 0 2 6 14 32 51 63 71 78 84 83 76 56 36 23 20 27 41 53 70 134 131 103 66 27 7 39 67 49 44 42 31 11 1 2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 2 2 2 2 3 2 1 1 1 1 1 0 0 0 0 0 0 0 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
645 616 590 575 551 498 415 315 219 143 90 53 28 14 5 1 1 1 0 0 0 0 0 0 0 0 0 0 0 43 305 874 1618 2233 2572 2776 2968 3163 3307 3361 3364 3369 3381 3393 3403 3404 3386 3343 3296 3259 3194 3141 3089 3020 2945 2912 2896 2865 2793 2684 2531 2304 1976 1566 1134 721 382 150 30 7 1 1 1 0 0 1 0 1 1 0 0 0 0 0 2 6 7 8 9 13 20 23 24 23 17 10 9 15 23 36 83 88 68 44 24 8 1 1 4 5 10 12 5 0 1 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 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
716 676 638 600 546 458 343 231 144 88 51 25 11 4 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 42 272 807 1584 2254 2610 2824 3010 3184 3315 3379 3397 3403 3414 3427 3433 3426 3399 3341 3290 3241 3183 3135 3087 3029 2966 2921 2883 2805 2672 2455 2152 1796 1402 1042 745 455 219 73 11 2 1 1 0 0 0 0 1 1 2 1 1 1 1 0 0 0 0 0 0 0 2 3 4 5 11 13 10 11 14 17 23 24 22 22 23 13 2 1 1 2 2 2 1 1 1 0 0 0 0 0 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 0 0 0 0 0 0 0
822 754 695 639 564 446 304 185 106 58 27 8 2 0 0 0 0 0 0 0 2 3 2 0 0 0 0 0 0 34 221 750 1620 2334 2682 2911 3091 3239 3350 3418 3441 3424 3433 3449 3455 3440 3404 3344 3285 3226 3177 3133 3078 3007 2922 2787 2640 2461 2232 1931 1577 1223 913 654 421 216 80 19 1 0 0 0 0 0 0 0 0 1 2 2 2 2 2 1 1 1 0 0 1 1 1 1 1 1 3 6 8 8 5 2 1 1 2 3 5 2 1 1 2 2 1 1 1 1 1 1 1 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 0 0 0 0 0 0 0
920 827 753 689 606 469 313 182 98 47 16 3 0 0 0 0 0 0 0 0 3 5 4 2 1 0 0 0 0 18 132 663 1666 2417 2759 2992 3174 3309 3399 3446 3450 3416 3436 3456 3460 3443 3404 3349 3291 3239 3190 3130 3006 2802 2555 2249 1975 1726 1464 1187 917 685 501 338 164 58 14 2 0 0 0 0 0 0 0 0 0 1 1 2 2 2 3 2 2 2 1 1 1 1 1 1 1 1 1 1 1 3 2 1 1 1 0 0 1 2 2 2 2 1 0 0 0 0 0 1 1 1 2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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
996 887 802 729 636 485 306 169 90 43 15 4 1 1 0 0 0 0 0 1 2 2 1 0 0 0 0 0 0 4 83 623 1678 2467 2823 3050 3240 3374 3445 3461 3432 3394 3421 3447 3453 3435 3400 3353 3299 3237 3119 2951 2643 2192 1728 1321 1071 883 707 547 415 305 183 96 31 5 0 0 0 0 0 0 0 0 0 0 0 1 1 2 2 3 3 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 1 1 1 0 0 0 0 0 0 0 0 0 1 1 0 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 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
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